{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0Q8HZTJC7G"
    }
  ],
  "body": "\n## Summary\n\nThe orthogonal projection onto a subspace $W$ sends each vector to the unique vector of $W$ whose difference with it is orthogonal to $W$.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "kind": "concept",
    "msc": [
      "15A04",
      "46C05"
    ],
    "name": "Orthogonal projection",
    "sources": [
      {
        "locator": "Orthogonal projections",
        "url": "https://en.wikipedia.org/wiki/Projection_(linear_algebra)"
      }
    ],
    "tag": "0B8KZRT28M"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0B8KZRT28M/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0B8KZRT28M.md",
  "msc": [
    "15A04",
    "46C05"
  ],
  "name": "Orthogonal projection",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0B8/0B8KZRT28M.md",
  "status": null,
  "tag": "0B8KZRT28M",
  "uri": "m2://0B8KZRT28M",
  "url": "https://math2.tamnd.com/wiki/orthogonal-projection/",
  "writing": {
    "tag": "0B8KZRT28M",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}