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A vector $2 \hat{i} + 2 \hat{j}$ rotated about its tail through an angle $45^{\circ}$ in clockwise direction. Then the new vector is

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22 j^

2 j^

2 i^

22 i^

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detailed solution

Correct option is D

If a vector is rotated its magnitude does not change but direction changes .Given vector is making 450 with x axis. After rotation of 450 in clockwise direction, it will become parallel to x axis without change in its magnitude. So, new vector=22 i^

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A vector 2 i^+2 j^ rotated about its tail through an angle 45∘ in clockwise direction. Then the new vector is

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A vector $2 \hat{i} + 2 \hat{j}$ rotated about its tail through an angle $45^{\circ}$ in clockwise direction. Then the new vector is