(\lbrack\mathbf{aba} \times \mathbf{b}\rbrack) is equal to | MATH - VECTOR OR CROSS PRODUCT OF TWO VECTORS AND ITS APPLICATIONS | SolveeIt | Solveeit

Today, August 18

Question

$\lbrack\mathbf{aba} \times \mathbf{b}\rbrack$ is equal to

A

$|\mathbf{a} \times \mathbf{b}|$

B

$|\mathbf{a} \times \mathbf{b}|^{2}$

C

0

D

None of these

Answer

$|\mathbf{a} \times \mathbf{b}|^{2}$

Explanation

Solution

We have $\lbrack\mathbf{aba} \times \mathbf{b}\rbrack = (\mathbf{a} \times \mathbf{b}).(\mathbf{a} \times \mathbf{b}) = |\mathbf{a} \times \mathbf{b}|^{2}$ .