Three vectors vec{A}, vec{B} and vec{C} are s | vedclass

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(B) Given that $\vec{A} \cdot \vec{B} = 0$,this implies that vector $\vec{A}$ is perpendicular to vector $\vec{B}$.Given that $\vec{A} \cdot \vec{C} =

Vedclass · Accepted Answer

$\vec{B} 	imes \vec{C}$

Vedclass · Answer

(B) Given that $\vec{A} \cdot \vec{B} = 0$,this implies that vector $\vec{A}$ is perpendicular to vector $\vec{B}$.Given that $\vec{A} \cdot \vec{C} = 0$,this implies that vector $\vec{A}$ is perpendicular to vector $\vec{C}$.Since vector $\vec{A}$ is perpendicular to both $\vec{B}$ and $\vec{C}$,it must be parallel to the direction of the cross product of $\vec{B}$ and $\vec{C}$.The cross product $\vec{B} 	imes \vec{C}$ results in a vector that is perpendicular to the plane containing both $\vec{B}$ and $\vec{C}$.Therefore,$\vec{A}$ is parallel to $\vec{B} 	imes \vec{C}$.

Three 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 $\vec{A}$ is parallel to:

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