Let v denote a vector in an inner product space V. (a) Show that W = (w

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Let v denote a vector in an inner product space V.
(a) Show that W = (w | w in V,(v, w) = 0} is a subspace of V.
(b) If V= R3 with the dot product, and if v = (1, -1, 2), find a basis for IV.
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