Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Vector Calculus
If \(\vec F = \left( {{x^2}y + 3z} \right)\hat i + \left( {x{z^3} - 2y} \right)\hat j + {x^2}z\hat k.\) Then the value of grad(div \(\vec F\)) at the point (1, 2, 3) is
1
î - 2ĵ
2
2î + 3ĵ
3
6î + 2ĵ
4
6î + ĵ - k̂