Question

The magnetic of $\overline{A}\times (\overline{A}\times \overline{B})$ is equal to ($\theta$ is the angle between $\overline{A}$ and $\overline{B}$)

• A. $A^{2}B\sin \theta$
• B. $|A|(\overline{A}\times \overline{B})$
• C. $A{B}^2\sin \theta$
• D. $|\overline{A}||\overline{A}||\overline{B}|$

Answer 1

The correct option is A $A^{2}B\sin \theta$

Magnitude of

$\overrightarrow{A}\times (\overrightarrow{A}\times \overrightarrow{B})=\overrightarrow{A}\times \left(AB\sin \theta \right)$

$=A^{2}B\sin \theta$