Question: Let r = xi + yj + zk and let r = |r|. a. Show that r = r/r. b. Show that (r n )

Let r = xi + yj + zk and let r = |r|.

a. Show that ∇r = r/r.

b. Show that ∇(rn) = nrn-2r.

c. Find a function whose gradient equals r.

d. Show that r · dr = r dr.

e. Show that ∇(A · r) = A for any constant vector A.

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a We have r r x2 y2 z212 Taking the gradient of r we get r rxi ryj rzk 122xx2 y2 z... View full answer

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