Question: Let u, v, and w be nonzero vectors in 3-space with the same initial point, but such that no two of them are collinear. Show

Let u, v, and w be nonzero vectors in 3-space with the same initial point, but such that no two of them are collinear. Show that
(a) u × (v × w) lies in the plane determined by v and w
(b) (u × v) × w lies in the plane determined by u and v

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a By Theorem 341 we know that the vector v w is perpendicular to both v and w Hence v w ... View full answer

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