What is the product of two vectors if they ar | vedclass

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Question

(A) The cross product of two vectors $\vec{A}$ and $\vec{B}$ is given by $\vec{A} 	imes \vec{B} = AB \sin 	heta \hat{n}$,where $	heta$ is the angle

Vedclass · Accepted Answer

The cross product is zero.

Vedclass · Answer

(A) The cross product of two vectors $\vec{A}$ and $\vec{B}$ is given by $\vec{A} 	imes \vec{B} = AB \sin 	heta \hat{n}$,where $	heta$ is the angle between the vectors.If the vectors are parallel,$	heta = 0^\circ$,so $\sin 0^\circ = 0$.If the vectors are antiparallel,$	heta = 180^\circ$,so $\sin 180^\circ = 0$.In both cases,the cross product $\vec{A} 	imes \vec{B} = 0$.

What is the product of two vectors if they are parallel or antiparallel?

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