"cross product" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Q153243",
        "in": "1881"
      },
      "expansion": "Coined by American scientist Josiah Willard Gibbs in 1881",
      "name": "coin"
    }
  ],
  "etymology_text": "Coined by American scientist Josiah Willard Gibbs in 1881.",
  "forms": [
    {
      "form": "cross products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cross product (plural cross products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "bicrossproduct"
        }
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              4,
              17
            ]
          ],
          "text": "The cross product can be derived like so: given a pair of vectors #92;xi and #92;eta, solve for a vector #92;zeta which is perpendicular to both #92;xi and #92;eta, i.e., whose dot product with both #92;xi and #92;eta is zero.",
          "type": "example"
        }
      ],
      "glosses": [
        "A vector product."
      ],
      "id": "en-cross_product-en-noun-jLINnseL",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector product",
          "vector product"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A vector product."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-cross product.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5e/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5e/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav.ogg"
    }
  ],
  "word": "cross product"
}

{
  "derived": [
    {
      "word": "bicrossproduct"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Q153243",
        "in": "1881"
      },
      "expansion": "Coined by American scientist Josiah Willard Gibbs in 1881",
      "name": "coin"
    }
  ],
  "etymology_text": "Coined by American scientist Josiah Willard Gibbs in 1881.",
  "forms": [
    {
      "form": "cross products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cross product (plural cross products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English coinages",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms coined by Josiah Willard Gibbs",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Linear algebra"
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              4,
              17
            ]
          ],
          "text": "The cross product can be derived like so: given a pair of vectors #92;xi and #92;eta, solve for a vector #92;zeta which is perpendicular to both #92;xi and #92;eta, i.e., whose dot product with both #92;xi and #92;eta is zero.",
          "type": "example"
        }
      ],
      "glosses": [
        "A vector product."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector product",
          "vector product"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A vector product."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-cross product.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5e/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5e/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-cross_product.wav.ogg"
    }
  ],
  "word": "cross product"
}

{
  "called_from": "query_wikidata_json",
  "msg": "WIKIDATA QUERY failed",
  "path": [
    "cross product",
    "Template:coin",
    "#invoke",
    "#invoke",
    "Lua:Module:coinage:coinage()"
  ],
  "section": "English",
  "subsection": "",
  "title": "cross product",
  "trace": "<!DOCTYPE html>\n<html lang=\"en\">\n<meta charset=\"utf-8\">\n<title>Wikimedia Error</title>\n<style>\n* { margin: 0; padding: 0; }\nbody { background: #fff; font: 15px/1.6 sans-serif; color: #333; }\n.content { margin: 7% auto 0; padding: 2em 1em 1em; max-width: 640px; display: flex; flex-direction: row; flex-wrap: wrap; }\n.footer { clear: both; margin-top: 14%; border-top: 1px solid #e5e5e5; background: #f9f9f9; padding: 2em 0; font-size: 0.8em; text-align: center; }\nimg { margin: 0 2em 2em 0; }\na img { border: 0; }\nh1 { margin-top: 1em; font-size: 1.2em; }\n.content-text { flex: 1; }\np { margin: 0.7em 0 1em 0; }\na { color: #0645ad; text-decoration: none; }\na:hover { text-decoration: underline; }\ncode { font-family: sans-serif; }\nsummary { font-weight: bold; cursor: pointer; }\ndetails[open] { background: #970302; color: #dfdedd; }\n.text-muted { color: #777; }\n@media (prefers-color-scheme: dark) {\n  a { color: #9e9eff; }\n  body { background: transparent; color: #ddd; }\n  .footer { border-top: 1px solid #444; background: #060606; }\n  #logo { filter: invert(1) hue-rotate(180deg); }\n  .text-muted { color: #888; }\n}\n</style>\n<meta name=\"color-scheme\" content=\"light dark\">\n<div class=\"content\" role=\"main\">\n<a href=\"https://www.wikimedia.org\"><img id=\"logo\" src=\"https://www.wikimedia.org/static/images/wmf-logo.png\" srcset=\"https://www.wikimedia.org/static/images/wmf-logo-2x.png 2x\" alt=\"Wikimedia\" width=\"135\" height=\"101\">\n</a>\n<div class=\"content-text\">\n<h1>Error</h1>\n\n<p>Your bot is making too many requests. Please reduce your request rate or contact bot-traffic@wikimedia.org (f263c81)</p>\n</div>\n</div>\n<div class=\"footer\"><p>If you report this error to the Wikimedia System Administrators, please include the details below.</p><p class=\"text-muted\"><code>Request served via cp3073 cp3073, Varnish XID 450663090<br>Upstream caches: cp3073 int<br>Error: 429, Your bot is making too many requests. Please reduce your request rate or contact bot-traffic@wikimedia.org (f263c81) at Mon, 23 Mar 2026 18:54:15 GMT<br><details><summary>Sensitive client information</summary>IP address: 91.207.79.37</details></code></p>\n</div>\n</html>\n"
}