Question: Let u and v be vectors in an inner product space V. (a) Expand (2u - 7v, 3u + 5v). (b) Expand (3u - 4v,

Let u and v be vectors in an inner product space V.
(a) Expand (2u - 7v, 3u + 5v).
(b) Expand (3u - 4v, 5u + v).
(c) Show that ||u + v||2 = ||u||2 + 2(u,v) + ||v||2.
(d) Show drat ||u - v||2 = ||u||2 - 2(u,v) + ||v||2.

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