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(C) The vector product (cross product) of two vectors $\vec{a}$ and $\vec{b}$,denoted by $\vec{a} 	imes \vec{b}$,results in a vector that is perpendi

Vedclass · Accepted Answer

$\frac{\vec{a} 	imes \vec{b}}{|\vec{a} 	imes \vec{b}|}$

Vedclass · Answer

(C) The vector product (cross product) of two vectors $\vec{a}$ and $\vec{b}$,denoted by $\vec{a} 	imes \vec{b}$,results in a vector that is perpendicular to the plane containing both $\vec{a}$ and $\vec{b}$.To find a unit vector perpendicular to both,we divide this cross product by its magnitude.The formula for the unit vector $\hat{n}$ perpendicular to both $\vec{a}$ and $\vec{b}$ is given by:$\hat{n} = \pm \frac{\vec{a} 	imes \vec{b}}{|\vec{a} 	imes \vec{b}|}$.Comparing this with the given options,the correct expression is $\frac{\vec{a} 	imes \vec{b}}{|\vec{a} 	imes \vec{b}|}$.

Find the unit vector perpendicular to both vectors $\vec{a}$ and $\vec{b}$.

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