Can the resultant of 2 vectors be zero? | vedclass

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Question

(C) The resultant of $2$ vectors $\vec{A}$ and $\vec{B}$ is given by $\vec{R} = \vec{A} + \vec{B}$.For the resultant to be zero,$\vec{A} + \vec{B} = 0

Vedclass · Accepted Answer

Yes,when the $2$ vectors are same in magnitude but opposite in sense.

Vedclass · Answer

(C) The resultant of $2$ vectors $\vec{A}$ and $\vec{B}$ is given by $\vec{R} = \vec{A} + \vec{B}$.For the resultant to be zero,$\vec{A} + \vec{B} = 0$,which implies $\vec{A} = -\vec{B}$.This means the two vectors must have the same magnitude $(|A| = |B|)$ but must be directed in opposite directions (an angle of $180^{\circ}$ or $\pi$ radians between them).Therefore,the correct condition is that the $2$ vectors are same in magnitude but opposite in sense.

Can the resultant of $2$ vectors be zero?

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