Three vectors vec a,vec b,and vec c satisfy t | vedclass

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(D) Given that $\vec a \cdot \vec b = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec b$.Given that $\vec a \cdot \vec c

Vedclass · Accepted Answer

$\vec b 	imes \vec c$

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(D) Given that $\vec a \cdot \vec b = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec b$.Given that $\vec a \cdot \vec c = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec c$.By the definition of the cross product,the vector $\vec b 	imes \vec c$ results in a vector that is perpendicular to both $\vec b$ and $\vec c$.Since $\vec a$ is perpendicular to both $\vec b$ and $\vec c$,and $\vec b 	imes \vec c$ is also perpendicular to both $\vec b$ and $\vec c$,it follows that $\vec a$ must be parallel to $\vec b 	imes \vec c$.

Three vectors $\vec a$,$\vec b$,and $\vec c$ satisfy the relations $\vec a \cdot \vec b = 0$ and $\vec a \cdot \vec c = 0$. The vector $\vec a$ is parallel to:

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