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?

  • A

    $2 \sqrt{2} \hat{j}$

  • B

    $2 \hat{j}$

  • C

    $2 \hat{i}$

  • D

    $2 \sqrt{2} \hat{i}$

Similar Questions

Give equation to find the value of resultant vector and the direction of two vectors.

Five equal forces of $10 \,N$ each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be ........... $\mathrm{N}$

${d \over {dx}}({x^2}{e^x}\sin x) = $

Forces ${F_1}$ and ${F_2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be

If $\overrightarrow A = 4\hat i - 3\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$ then magnitude and direction of $\overrightarrow A \, + \overrightarrow B $ will be