(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 (ˆr · ∇)ˆr, where ˆr is the unit vector defined in Eq. 1.21.
(c) For the functions in Prob. 1.15, evaluate (va · ∇)vb.
Reference: Eq. 1.21.
Reference: Prob. 1.15.
Calculate the divergence of the following vector functions:
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