Question: (a) Prove that if u is orthogonal to both v and w, then u is orthogonal to v + w. (b) Prove that if u

(a) Prove that if u is orthogonal to both v and w, then u is orthogonal to v + w.
(b) Prove that if u is orthogonal to both v and w, then u is orthogonal to sv + tw for all scalars s and t.

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