Allied & ICAR Exam Bank • ALLIED_2681 NAT • 2 Marks

Section 1: Engineering Mathematics

Vector Calculus

Subtopic: Divergence and curl

Question Statement:

The curl of $\vec{F} = y z \hat{i} + z x \hat{j} + x y \hat{k}$ has magnitude:

Answer Key:

0

Step-by-Step Solution & Explanation

Notice $\vec{F} = \nabla(x y z)$. The curl of any gradient field is identically zero. Thus $|\nabla \times \vec{F}| = 0$.
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