Let $\overrightarrow C = \overrightarrow A + \overrightarrow B $ then

  • A

    $|\overrightarrow {C|} $ is always greater then $|\overrightarrow A |$

  • B

    It is possible to have $|\overrightarrow C |\, < \,|\overrightarrow A |$ and $|\overrightarrow C |\, < \,|\overrightarrow B |$

  • C

    $C$ is always equal to $A + B$

  • D

    $C$ is never equal to $A + B$

Similar Questions

The vector $\overrightarrow{O A}$ where $O$ is origin is given by $\overrightarrow{O A}=2 \hat{i}+2 \hat{j}$. Now it is rotated by $45^{\circ}$ anticlockwise about $O$. What will be the new vector?

Which of the following relations is true for two unit vectors $\hat{ A }$ and $\hat{ B }$ making an angle $\theta$ to each other$?$

  • [JEE MAIN 2022]

Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces  Also name the triangle formed by the forces as sides

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes $P$ and $Q$ are in the ratio $3:1.$ Which of the following relations is true

At what angle must the two forces $(x + y)$ and $(x -y)$ act so that the resultant may be $\sqrt {({x^2} + {y^2})} $