# Gradients of vectors expressions

See attached file for full problem description.

f = r.k/|r^3|

What is the gradient of f?

Show that for vectors v and r and constant vector a we get:

if v=(a.r)r

Div(v) = 4(a.r)

Curl(v) = a x r

https://brainmass.com/math/basic-algebra/gradients-vectors-expressions-21870

#### Solution Summary

The gradients and vector expression functions are determined.

$2.19