different mathematical methods and tools to be used in physics throughout the course including curl, gradient and divergence by prof. Priti S Mohanty from KIIT school of biotechnology

4. Calculate the divergence of the
following:
1) r = x2 i + y3x j + z k
2) r = i + x j + z2 yk
3) r = c + y j + k
(c = constant)

5. Calculate the curl of the following, 1 & 2
1) v = xy2 i + x3 j + z3 k
2) r = i + y2 j + zk
3) r = c xi + y j + k (c = constant)
If .r = 0, then calculate the value of c.
4) r = x2 i + y j + z2 k
Calculate . (r) ?.
Div (Grad r)