(a) If A and B are two vector functions, what does the expression (A )B mean?...

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(a) If A and B are two vector functions, what does the expression (A ∙ ∆)B mean? (That is, what are its x, y, and z components in terms of the Cartesian components of A, B, and ∆?)

(b) Compute (r ∙ ∆)r, where r is the unit vector defined in Eq. 1.21.

(c) For the functions in Prob. 1.15, evaluate (va ∙ ∆)vb.

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