$\vec{A}$ and $\vec{B}$ are two vectors and $ heta$ is the angle between them, if $|\vec{A} imes

Question

$\vec{A}$ and $\vec{B}$ are two vectors and $	heta$ is the angle between them, if $|\vec{A} 	imes \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$, the value of $	heta$ is\

Professor PC Thomas Classes · Answer

(d) : $|\vec{A} 	imes \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$\ $	herefore \quad A B \sin 	heta=\sqrt{3} A B \cos 	heta$\ or, $	an 	heta=\sqrt{3}$ or, $	heta=	an ^{-1} \sqrt{3}=60^{\circ}$.\