Question

Find the curl of the vector A = yz i + 4xy j + y k

(a) xi + j + (4y – z)k

(b) xi + yj + (z – 4y)k

(c) i + j + (4y – z)k

(d) i + yj + (4y – z)k

This question was addressed to me in quiz.

Enquiry is from Vector Calculus topic in portion Vector Calculus of Electromagnetic Theory

Answer 1

The correct option is (d) i + yj + (4y – z)k

Explanation: Curl A = i(Dy(y) – Dz(0)) – j (Dx(0) – Dz(yz)) + k(Dx(4xy) – Dy(yz)) =

i + y j + (4y – z)k.