Let u, v, and w be vectors in a given Euclidean space and let c and d be nonzero

Chapter 1, Problem 32

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Let u, v, and w be vectors in a given Euclidean space and let c and d be nonzero scalars. Tell whether each of the following expressions is a scalar, a vector, or is not a valid expression. (a) {uv)w (c) u v + cw (e) c{uv) + dw (g) cu dv + llwllv (b) {uv) w (d) u. v + c (f) llu + evil + d (h) llu vii

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