Vectors, $\vec{A}, \vec{B}$ and $\vec{C}$ are such that $\vec{A} \cdot \vec{B}=0$ and $\vec{A} \cdot

Question

Vectors, $\vec{A}, \vec{B}$ and $\vec{C}$ are such that $\vec{A} \cdot \vec{B}=0$ and $\vec{A} \cdot \vec{C}=0$. Then the vector parallel to $\vec{A}$ is\

Professor PC Thomas Classes · Answer

(c) : Vector triple product of three vectors $\vec{A}, \vec{B}$ and $\vec{C}$ is $\vec{A} 	imes(\vec{B} 	imes \vec{C})=(\vec{A} \cdot \vec{C}) \vec{B}-(\vec{A} \cdot \vec{B}) \vec{C}$\ Given : $\vec{A} \cdot \vec{B}=0, \vec{A} \cdot \vec{C}=0$\ $	herefore \quad \vec{A} 	imes(\vec{B} 	imes \vec{C})=0$\ Thus the vector $\vec{A}$ is parallel to vector $\vec{B} 	imes \vec{C}$.\