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Inner products & orthogonality

Gram-Schmidt process

1 / 5Standard

Subtract from the first vector its component along the second; find the part perpendicular to the second vector.

orth⁡(12)((34))\operatorname{orth}_{\begin{pmatrix} 1 \\ 2 \end{pmatrix}}\left(\begin{pmatrix} 3 \\ 4 \end{pmatrix}\right)