Is a vector necessarily changed if it is rotated through an angle?

True

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False

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Can't Say

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None of These

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Solution

The correct option is B
False

If a vector is rotated by any angle which is not a multiple of $360^{\circ}$ or $2 π$ radians, then it is different. But if rotated through a multiple of $360^{\circ}$ , it remains the same. As it is simply making full circles, the direction will be the same as the initial direction.

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We rotated vector A through an angle θ about its tail and we get a vector B. We rotated the same vector A through an angle θ about the centre of the vector and we get C as shown in the figure. Choose the correct option?

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Is a vector necessarily changed if it is rotated through an angle?

The correct option is B False If a vector is rotated by any angle which is not a multiple of 360∘ or 2π radians, then it is different. But if rotated through a multiple of 360∘, it remains the same. As it is simply making full circles, the direction will be the same as the initial direction.