File:Exterior calc cross product.png

From testwiki
Jump to navigation Jump to search
Original file (1,130 × 991 pixels, file size: 50 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

File:Exterior calc cross product.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Exterior calc cross product.png → File:Exterior calc cross product.svg
For more information, see Help:SVG.
In other languages
Alemannisch ∙ العربية ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ нохчийн ∙ čeština ∙ dansk ∙ Deutsch ∙ Ελληνικά ∙ English ∙ British English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ Frysk ∙ galego ∙ Alemannisch ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ Ido ∙ italiano ∙ 日本語 ∙ ქართული ∙ 한국어 ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ Bahasa Melayu ∙ မြန်မာဘာသာ ∙ norsk bokmål ∙ Plattdüütsch ∙ Nederlands ∙ norsk nynorsk ∙ norsk ∙ occitan ∙ polski ∙ prūsiskan ∙ português ∙ português do Brasil ∙ română ∙ русский ∙ sicilianu ∙ Scots ∙ slovenčina ∙ slovenščina ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ ไทย ∙ Türkçe ∙ татарча / tatarça ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（中国大陆） ∙ 中文（简体） ∙ 中文（繁體） ∙ 中文（马来西亚） ∙ 中文（新加坡） ∙ 中文（臺灣） ∙ +/−
New SVG image

Description
English: The cross product viewed in terms of the exterior product and Hodge dual. In red are the unit normal vector and unit "parallel" bivector. The cross product, as the dual of the bivector, has the same magnitude relative to the unit normal vector as the bivector has relative to the unit bivector -- thus the magnitude of the cross product is the area of parallelogram formed by the bivector.

SVG source code (SVG is rendered poorly by the current renderer, especially text and arrows)


<?xml version="1.0" encoding="UTF-8" standalone="no"?>

<svg
   xmlns:dc="http://purl.org/dc/elements/1.1/"
   xmlns:cc="http://web.resource.org/cc/"
   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   xmlns:sodipodi="http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd"
   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
   width="112.96"
   height="99.050003"
   id="svg2"
   sodipodi:version="0.32"
   inkscape:version="0.43"
   sodipodi:docbase="/home/jedidiah/Desktop"
   sodipodi:docname="exterior_calc_cross_product.svg"
   version="1.0"
   inkscape:export-filename="/home/jedidiah/Desktop/Exterior_calc_cross_product.png"
   inkscape:export-xdpi="900.44763"
   inkscape:export-ydpi="900.44763">
  <defs
     id="defs4">
    <marker
       inkscape:stockid="Arrow1Lstart"
       orient="auto"
       refY="0.0"
       refX="0.0"
       id="Arrow1Lstart"
       style="overflow:visible">
      <path
         id="path3396"
         d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none"
         transform="scale(0.8)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Mstart"
       orient="auto"
       refY="0.0"
       refX="0.0"
       id="Arrow1Mstart"
       style="overflow:visible">
      <path
         id="path3390"
         d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none"
         transform="scale(0.4)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Mend"
       orient="auto"
       refY="0.0"
       refX="0.0"
       id="Arrow1Mend"
       style="overflow:visible;">
      <path
         id="path3387"
         d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none;"
         transform="scale(0.4) rotate(180)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Mstart"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Mstart"
       style="overflow:visible">
      <path
         id="path3239"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="scale(0.6,0.6)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Send"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Send"
       style="overflow:visible">
      <path
         id="path4181"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-0.3,0,0,-0.3,0.69,0)" />
    </marker>
    <marker
       style="fill:#952c95;overflow:visible"
       id="ArrowViolet"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="ArrowViolet">
      <path
         transform="matrix(-0.3,0,0,-0.3,0.69,0)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         id="path2210" />
    </marker>
    <marker
       inkscape:stockid="ArrowRed"
       orient="auto"
       refY="0"
       refX="0"
       id="ArrowRed"
       style="fill:#ff0000;overflow:visible">
      <path
         id="path2294"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-0.3,0,0,-0.3,0.69,0)" />
    </marker>
    <marker
       inkscape:stockid="ArrowBlue"
       orient="auto"
       refY="0"
       refX="0"
       id="ArrowBlue"
       style="fill:#0000ff;overflow:visible">
      <path
         id="path2227"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-0.3,0,0,-0.3,0.69,0)" />
    </marker>
    <marker
       inkscape:stockid="ArrowGreen"
       orient="auto"
       refY="0"
       refX="0"
       id="ArrowGreen"
       style="fill:#138813;overflow:visible">
      <path
         id="path2214"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-0.3,0,0,-0.3,0.69,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Mend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Mend"
       style="overflow:visible">
      <path
         id="path4175"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="scale(-0.6,-0.6)" />
    </marker>
    <marker
       style="fill:#138813;overflow:visible"
       id="Arrow2Dark_green"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Arrow2Dark_green">
      <path
         transform="scale(-0.6,-0.6)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         id="path4417" />
    </marker>
    <marker
       style="fill:#e70717;overflow:visible"
       id="Arrow2Red"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Arrow2Red">
      <path
         transform="scale(-0.6,-0.6)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         id="path4409" />
    </marker>
    <marker
       style="fill:#0000ff;overflow:visible"
       id="Arrow2Blue"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Arrow2Blue">
      <path
         transform="scale(-0.6,-0.6)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         id="path4397" />
    </marker>
    <marker
       style="fill:#138813;overflow:visible"
       id="Arrow2Green"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Arrow2Green">
      <path
         transform="scale(-0.6,-0.6)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         id="path4389" />
    </marker>
    <marker
       inkscape:stockid="Arrow2LViolet"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2LViolet"
       style="fill:#952c95;overflow:visible">
      <path
         id="path4393"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="scale(-0.6,-0.6)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Lend"
       style="overflow:visible">
      <path
         id="path4169"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-1.1,0,0,-1.1,-1.1,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow1Lend"
       style="overflow:visible">
      <path
         id="path4151"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="matrix(-0.8,0,0,-0.8,-10,0)" />
    </marker>
  </defs>
  <sodipodi:namedview
     id="base"
     pagecolor="#ffffff"
     bordercolor="#666666"
     borderopacity="1.0"
     gridtolerance="50"
     guidetolerance="10"
     objecttolerance="10"
     inkscape:pageopacity="0.0"
     inkscape:pageshadow="2"
     inkscape:zoom="8.2382632"
     inkscape:cx="56.48"
     inkscape:cy="49.525002"
     inkscape:document-units="px"
     inkscape:current-layer="layer1"
     showgrid="true"
     inkscape:object-paths="false"
     inkscape:grid-bbox="false"
     inkscape:window-width="1292"
     inkscape:window-height="998"
     inkscape:window-x="65"
     inkscape:window-y="31"
     showguides="true"
     inkscape:guide-bbox="true"
     width="112.96px"
     height="99.05px" />
  <metadata
     id="metadata7">
    <rdf:RDF>
      <cc:Work
         rdf:about="">
        <dc:format>image/svg+xml</dc:format>
        <dc:type
           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
      </cc:Work>
    </rdf:RDF>
  </metadata>
  <g
     inkscape:label="Layer 1"
     inkscape:groupmode="layer"
     id="layer1"
     transform="translate(-252.4295,-513.6927)">
    <path
       sodipodi:type="star"
       style="fill:#669bf1;fill-opacity:0.30319148;fill-rule:evenodd;stroke:#000700;stroke-width:1.13190317;stroke-linecap:butt;stroke-linejoin:round;marker-start:none;marker-mid:none;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       id="path2222"
       sodipodi:sides="4"
       sodipodi:cx="24.642857"
       sodipodi:cy="256.46143"
       sodipodi:r1="32.718494"
       sodipodi:r2="46.740707"
       sodipodi:arg1="0.89366875"
       sodipodi:arg2="1.6790669"
       inkscape:flatsided="true"
       inkscape:rounded="0"
       inkscape:randomized="0"
       d="M 45.142856,281.96142 L -0.85714185,276.96142 L 4.1428577,230.96143 L 50.142855,235.96143 L 45.142856,281.96142 z "
       transform="matrix(-0.660097,0.744873,-1.578815,7.888796e-2,731.68,542.971)" />
    <path
       style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.4pt;marker-start:none"
       d="M 325.23872,564.24731 L 327.23872,562.24731 L 320.23872,564.24731 L 327.23872,566.24731 L 325.23872,564.24731 z "
       id="path3407" />
    <path
       id="path3410"
       d="M 342.99608,583.4665 L 342.82644,586.28984 L 346.73728,580.14937 L 340.17274,583.29688 L 342.99608,583.4665 z "
       style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.4pt;marker-start:none" />
    <path
       transform="matrix(-0.292402,0.329241,-0.699365,3.486919e-2,466.7753,574.5316)"
       d="M 45.142856,281.96142 L -0.85714185,276.96142 L 4.1428577,230.96143 L 50.142855,235.96143 L 45.142856,281.96142 z "
       inkscape:randomized="0"
       inkscape:rounded="0"
       inkscape:flatsided="true"
       sodipodi:arg2="1.6790669"
       sodipodi:arg1="0.89366875"
       sodipodi:r2="46.740707"
       sodipodi:r1="32.718494"
       sodipodi:cy="256.46143"
       sodipodi:cx="24.642857"
       sodipodi:sides="4"
       id="path3419"
       style="fill:#f8adad;fill-opacity:1;fill-rule:evenodd;stroke:#000700;stroke-width:1.13190317;stroke-linecap:butt;stroke-linejoin:round;marker-start:none;marker-mid:none;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       sodipodi:type="star" />
    <path
       style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.1769953pt;marker-start:none"
       d="M 294.60079,592.43094 L 294.52564,593.67889 L 296.25802,590.96474 L 293.35014,592.35597 L 294.60079,592.43094 z "
       id="path3423" />
    <path
       id="path3421"
       d="M 286.73485,583.93589 L 287.62078,583.05187 L 284.52001,583.93589 L 287.62078,584.81991 L 286.73485,583.93589 z "
       style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.1769953pt;marker-start:none" />
    <path
       style="fill:#138813;fill-opacity:1;fill-rule:evenodd;stroke:#138813;stroke-width:2.9732039;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#ArrowGreen);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 257.14154,597.13595 L 292.74056,566.23604"
       id="path2196" />
    <path
       style="fill:#952c95;fill-opacity:1;fill-rule:evenodd;stroke:#952c95;stroke-width:3.00394917;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#ArrowViolet);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 256.15738,598.08682 L 322.89099,598.98099"
       id="path2202" />
    <path
       style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:3.00708985;stroke-linecap:butt;stroke-linejoin:miter;marker-start:none;marker-end:url(#ArrowBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 257.57507,577.36094 L 257.57507,599.60299 L 257.57507,519.28444"
       id="path2194" />
    <path
       id="path1369"
       d="M 257.57507,577.36094 L 257.57507,599.60299 L 257.57507,569.11477"
       style="fill:#f70000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:3.007;stroke-linecap:butt;stroke-linejoin:miter;marker-start:none;marker-end:url(#ArrowRed);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       sodipodi:nodetypes="ccc" />
    <text
       xml:space="preserve"
       style="font-size:12px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:100%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="268.74515"
       y="576.52417"
       id="text2188"
       sodipodi:linespacing="100%"><tspan
         sodipodi:role="line"
         id="tspan2190"
         x="268.74515"
         y="576.52417">b</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="289.80795"
       y="611.06354"
       id="text3183"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan3185"
         x="289.80795"
         y="611.06354">a</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="315.20535"
       y="582.62604"
       id="text3251"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan1367"
         x="315.20535"
         y="582.62604">⋀</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="308.32544"
       y="582.7475"
       id="text3257"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan3259"
         x="308.32544"
         y="582.7475">a</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="323.95883"
       y="582.77393"
       id="text3261"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan3263"
         x="323.95883"
         y="582.77393">b</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="268.07166"
       y="540.80042"
       id="text3254"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan1365"
         x="268.07166"
         y="540.80042">×</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="261.92453"
       y="540.67761"
       id="text3260"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan3262"
         x="261.92453"
         y="540.67761">a</tspan></text>
    <text
       xml:space="preserve"
       style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="274.63501"
       y="540.71234"
       id="text3264"
       sodipodi:linespacing="105.99999%"><tspan
         sodipodi:role="line"
         id="tspan3266"
         x="274.63501"
         y="540.71234">b</tspan></text>
  </g>
</svg>
Date 20 May 2007 (original upload date)
Source Own work
Author Leland McInnes at English Wikipedia
Permission
(Reusing this file)		 This image was made by the posting Wikipedia author, and is freely distributed under GFDL.

Licensing

Public domain This work has been released into the public domain by its author, Leland McInnes at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
Leland McInnes grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

Transferred from en.wikipedia to Commons by Drilnoth using CommonsHelper.

The original description page was here. All following user names refer to en.wikipedia.
  • 2007-05-20 02:00 Leland McInnes 1130×991× (51676 bytes) ==SVG source code (SVG is rendered poorly by the current renderer, especially text and arrows)== <pre> <nowiki> <?xml version="1.0" encoding="UTF-8" standalone="no"?> <!-- Created with Inkscape (http://www.inkscape.org/) --> <svg xmlns:dc="http://purl.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

20 May 2007

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current22:22, 16 April 2009Thumbnail for version as of 22:22, 16 April 20091,130 × 991 (50 KB)wikimediacommons>File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|The cross product viewed in terms of the en:exterior product and en:Hodge dual. In red are
Retrieved from "https://en.wiki.beta.math.wmflabs.org/wiki/File:Exterior_calc_cross_product.png"