If the angle between the vectors $\dot{\vec{A}}$ and $\vec{B}$ is $ heta$, the value of the product

Question

If the angle between the vectors $\dot{\vec{A}}$ and $\vec{B}$ is $	heta$, the value of the product $(\vec{B} 	imes \vec{A}) \cdot \vec{A}$ is equal to\

Professor PC Thomas Classes · Answer

(d) : Let $\vec{A} 	imes \vec{B}=\vec{C}$ The cross product of $\vec{B}$ and $\vec{A}$ is perpendicular to the plane containing $\vec{A}$ and $\vec{B}$ i.e. perpendicular to $\vec{A}$.\ Therefore product of $(\vec{B} 	imes \vec{A}) \cdot \vec{A}=0$.\