engineering recuitment GATE EE 2023-24 Test Series Electromagnetic Theory Vector Calculus Vector Operators
For vector field \(\vec r = x \hat a_x + y \hat a _y + z \hat a _z\) which of the following is/are correct?
1
\(\nabla \times \vec r = 0\)
2
\(\nabla . \vec r \ne 0\)
3
\(\nabla ( \vec r . \vec r) = 2 \vec r\)
4
\(\nabla ( \nabla \times \vec r) = 1\)