engineering recuitment GATE EE 2023-24 Test Series Electromagnetic Theory Vector Calculus Vector Operators
If given field \(\rm \vec B = \left( {\alpha xy + \beta {z^3}} \right){\hat u_x} + \left( {3{x^2} - \gamma z} \right){\hat u_y} + \left( {3x{z^2} - y} \right){\hat u_z}\) is irrotational, the value of \(\rm \alpha ,\beta ,\gamma\) is:
1
\(\rm 6, 1, 1\)
2
\(\rm 6, 2, 3\)
3
\(\rm 1, 2, 3\)
4
\(\rm 1, 6, 3\)