Can the resultant of 2 vectors be zero? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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?

Similar Questions

If $|A|=2$ and $|B|=4$ and the angle between them is $60^{\circ}$,then $|A-B|$ is

The sum of the magnitudes of two forces is $25 \,N$. The resultant of these forces is perpendicular to the smaller force and has a magnitude of $10 \,N$. The two forces are:

Prove the associative law of vector addition.

If $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$,find the magnitude and direction of $\overrightarrow A + \overrightarrow B$.

Two forces are such that the sum of their magnitudes is $18 \,N$ and their resultant is perpendicular to the smaller force and the magnitude of the resultant is $12 \,N$. Then the magnitudes of the forces are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module