Explore topic-wise MCQs in Vector Calculus.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Vector Calculus knowledge and support exam preparation. Choose a topic below to get started.

Explore topic-wise MCQs in Vector Calculus.

The curl of vector field ( vec{f} (x,y,z) = x^2 hat{i} + 2z hat{j} y hat{k} ) is _________

A vector field with a vanishing curl is called as __________

Divergence and Curl of a vector field are ___________

A vector field which has a vanishing divergence is called as ____________

Chose the curl of ( vec{f} (x ,y ,z) = x^2 hat{i} + xyz hat{j} z hat{k} ) at the point (2, 1, -2).

Curl of ( vec{f} (x, y, z) = 2xy hat{i}+ (x^2+z^2) hat{j} + 2zy hat{k} ) is ________

Divergence of ( vec{f} (x, y, z) = e^{xy} hat{i} -cos y hat{j}+(sinz)^2 hat{k}. )

Divergence of ( vec{f}(x,y,z) = frac{(x hat{i}+y hat{j}+z hat{k})}{(x^2+y^2+z^2)^{3/2}}, (x, y, z) (0, 0, 0). )

What is the divergence of the vector field ( vec{f} = 3x^2 hat{i}+5xy^2 hat{j}+xyz^3 hat{k} ) at the point (1, 2, 3).