GATE 2025 PI – Question 12

Engineering Mathematics · Calculus · 1 mark · Multiple choice

For orthogonal Cartesian unit vectors i,j,k, find the curl of $-2y\mathbf i+x\mathbf j$.

Show answer and explanation

Correct answer: (A) $3\mathbf k$

Explanation

The x and y components of curl vanish. The z component is $\partial x/\partial x-\partial(-2y)/\partial y=1-(-2)=3$. Hence **3k, A**.

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