Let r = xi + yj + zk and let r = |r|. a. Show that r
Question:
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 the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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