Suppose a, b, c, and d are vectors in R3. Indicate which of the following expressions are vectors, which are scalars, and which are nonsense (i.e., neither a vector nor a scalar).
(a) (a×b)×c (b) (a · b) · c
(c) (a · b)× (c · d) (d) (a×b) · c
(e) (a · b)× (c×d) (f) a×[(b · c)d]
(g) (a×b) · (c×d) (h) (a · b)c − (a×b)
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