Vector overrightarrow{O A} where O is origin is given by overrightarrow{O A}=2 hat{i}+2 hat{j} . Now

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3-1.Vectors

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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

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

Solution

(a)

$\overline{O A}=2 \hat{i}+2 \hat{j}$

$|\overline{O A}|=\sqrt{4+4} \Rightarrow 2 \sqrt{2}$

On rotating by an angle of $45^{\circ}$ anticlockwise it will lie along $y$-axis.

So $\vec{A}=2 \sqrt{2} \hat{j}$

Standard 11

Physics

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