Which of the following is the unit vector per | vedclass

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(C) The cross product of two vectors $\vec{A}$ and $\vec{B}$ is defined as $\vec{A} 	imes \vec{B} = AB \sin 	heta \; \hat{n}$,where $\hat{n}$ is the

Vedclass · Accepted Answer

$\frac{\vec{A} 	imes \vec{B}}{AB \sin 	heta}$

Vedclass · Answer

(C) The cross product of two vectors $\vec{A}$ and $\vec{B}$ is defined as $\vec{A} 	imes \vec{B} = AB \sin 	heta \; \hat{n}$,where $\hat{n}$ is the unit vector perpendicular to both $\vec{A}$ and $\vec{B}$.From this definition,we can isolate the unit vector $\hat{n}$ as:$\hat{n} = \frac{\vec{A} 	imes \vec{B}}{AB \sin 	heta}$.Since $|\vec{A}| = A$ and $|\vec{B}| = B$,the expression becomes $\frac{\vec{A} 	imes \vec{B}}{|\vec{A}| |\vec{B}| \sin 	heta}$.Thus,option $C$ is correct.

Which of the following is the unit vector perpendicular to $\vec{A}$ and $\vec{B}$?

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