Question

Identify the correct vector identity.

(a) i . i = j . j = k . k = 0

(b) i X j = j X k = k X i = 1

(c) Div (u X v) = v . Curl(u) – u . Curl(v)

(d) i . j = j . k = k . i = 1

I got this question during an online exam.

My question is from Vector Properties in division Vector Analysis and Applications of Electromagnetic Theory

Answer 1

Right choice is (c) Div (u X v) = v . Curl(u) – u . Curl(v)

The explanation is: By standard proof, Div (u X v) = v . Curl(u) – u . Curl (v).