Question: Let r = (x, y, z) and e r =r/ r. Show that if a function (x, y, z) = F(r) depends only on the

Let r = (x, y, z) and e=r/ ΙΙrΙΙ. Show that if a function ƒ(x, y, z) = F(r) depends only on the distance from the origin r = ΙΙrΙΙ= √x+ y+ z2, then

Vf = F'(r)er

Vf = F'(r)er

Step by Step Solution

3.44 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The gradient of f is the following vector Hence af y We mus... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!