If a = 2i + 3j + 5k b = 3i + 3j + 7k c = 7i + 8j + 9k

Question

If \(\vec{a}=2\hat{i}+3\hat{j}+5\hat{k}\)

\(\vec{b}=3\hat{i}+3\hat{j}+7\hat{k}\)

\(\vec{c}=7\hat{i}+8\hat{j}+9\hat{k}\)

\(\vec{a}\times\vec{b}=\vec{c}+\vec{d}\)then |\(\vec{d}\)| is

(1) √174

(2) 8√2

(3) √168

(4) 5√5

Answer 1

Correct option is (1) √174