List of top Engineering Mathematics Questions on Vectors

The divergence of the vector field \( \vec{F} = yz\,\hat{i} - zx\,\hat{k} \) at \( (-2, 0, 1) \) is
The shortest and longest distance from the point \( (1,2,-1) \) to the sphere \( x^2 + y^2 + z^2 = 24 \) is: