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b) Compute the matrix P of the orthogonal projection on the plane orthogonal to S.
c) Let i, j, k be an orthonormal basis of the Euclidean 3-space and let S = S1 i + S2 j + S3 k. Compute the lengths of the projections on the orthogonal complement of S, of the vectors i, j, k, j - k, k - i, i - j.
d) Do your results fit with the pictures 2 and 3? yes no don't know
Eric Lehman and Martti E. Pesonen, March 23, 2003