Find $|\mathbf{a} \times \mathbf{b}|^2$, if $|\mathbf{a}|=2,|\mathbf{b}|=3$ and $(\mathbf{a}, \mathbf{b})=\frac{\pi}{6}$

Question

Aicharya · Accepted Answer

$|\mathbf{a} \times \mathbf{b}|^2=[|\mathbf{a}||\mathbf{b}| \sin \theta]^2=\left(2 \times 3 \times \frac{1}{2}\right)^2=9$

Find \(|\mathbf{a} \times \mathbf{b}|^2\), if \(|\mathbf{a}|=2,|\mathbf{b}|=3\) and \((\mathbf{a},…