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  • Orthogonality and projection

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  • Inner products in coordinate spaces
  • Norm and length
  • Orthogonality
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  • Definition of (orthogonal) projection of one vector onto another vector
  • Formula for the (orthogonal) projection of one vector onto another vector
  • Definition of (not necessarily orthogonal) projection onto a component of a direct sum
  • Definition of (orthogonal) projection onto a subspace
  • The projection of a vector which is in a subspace is the vector itself.
  • The (orthogonal) projection of a vector onto a subspace is the point in the subspace closest to the vector.
  • Formula for the coordinates of the projection of a vector onto a subspace
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