{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0FWJ0VW561"
    },
    {
      "field": "uses",
      "target": "4MWPJBF1Z7"
    },
    {
      "field": "uses",
      "target": "5CN7KY8MWP"
    },
    {
      "field": "uses",
      "target": "5S7FCJMCD7"
    },
    {
      "field": "uses",
      "target": "5WYZPX1ZVW"
    },
    {
      "field": "uses",
      "target": "7RRB4PCRJB"
    },
    {
      "field": "uses",
      "target": "A1G25R99PY"
    },
    {
      "field": "uses",
      "target": "ADKBEJCTZE"
    },
    {
      "field": "uses",
      "target": "C37R11WREF"
    },
    {
      "field": "uses",
      "target": "D94626DTTW"
    },
    {
      "field": "uses",
      "target": "EHW4EAWJBF"
    },
    {
      "field": "uses",
      "target": "FJKNJ14AD2"
    },
    {
      "field": "uses",
      "target": "J0MHS4ZCKR"
    },
    {
      "field": "uses",
      "target": "JWSNY03J2Y"
    },
    {
      "field": "uses",
      "target": "NPBWWBGV37"
    },
    {
      "field": "uses",
      "target": "NVRR2TXQSE"
    },
    {
      "field": "uses",
      "target": "NXQX1KFMDB"
    },
    {
      "field": "uses",
      "target": "PBEBXNHCPN"
    },
    {
      "field": "uses",
      "target": "R2EHQ06B98"
    },
    {
      "field": "uses",
      "target": "SB8PFJCJBC"
    },
    {
      "field": "uses",
      "target": "SGXYY92GRS"
    },
    {
      "field": "uses",
      "target": "VHXX092DAJ"
    },
    {
      "field": "about",
      "target": "NXQX1KFMDB"
    }
  ],
  "body": "\n## Summary\n\nAn orthonormal basis of a finite-dimensional inner product space is a basis whose vectors have length one and are pairwise orthogonal.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "ZYS2PWM983"
    ],
    "kind": "concept",
    "msc": [
      "15A63",
      "46C05"
    ],
    "name": "Orthonormal basis",
    "same_as": {
      "wikidata": "Q2365325",
      "wikipedia": "Orthonormal basis"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Orthonormal_basis"
      }
    ],
    "specializes": [
      "0KCQ9Y3QKA",
      "0RW9TNNT87"
    ],
    "tag": "0S9GGTR0EX"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0S9GGTR0EX/",
  "links": [
    {
      "field": "specializes",
      "target": "0KCQ9Y3QKA"
    },
    {
      "field": "specializes",
      "target": "0RW9TNNT87"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0S9GGTR0EX.md",
  "msc": [
    "15A63",
    "46C05"
  ],
  "name": "Orthonormal basis",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0S9/0S9GGTR0EX.md",
  "status": null,
  "tag": "0S9GGTR0EX",
  "uri": "m2://0S9GGTR0EX",
  "url": "https://tamnd.github.io/math2/wiki/orthonormal-basis/",
  "writing": {
    "tag": "0S9GGTR0EX",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      }
    ]
  }
}
