14. Compute the orthogonal projection of $y = \begin{bmatrix} 1 \ -1 \end{bmatrix}$ onto the line through $u = \begin{bmatrix} -1 \ 3 \end{bmatrix}$ and the origin.
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Magnitude of u = sqrt((-1)^2 + 3^2) = sqrt(1 + 9) = sqrt(10) Now, the unit vector in the direction of u is u_hat = u / ||u|| = [-1/sqrt(10), 3/sqrt(10)] Show more…
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