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Question

What happens if a vector is multiplied by the number 2?


A

The magnitude of the vector is doubled but its direction remains the same.

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B

The magnitude of the vector remains the same but its direction is reversed.

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C

The magnitude of the vector is doubled and its direction is reversed.

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D

Neither the magnitude nor the direction of the vector undergo any change.

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Solution

The correct option is A

The magnitude of the vector is doubled but its direction remains the same.


Multiplication of a vector by a real positive number n makes its magnitude n times but does not change the direction of the vector. Hence, the correct option is (a).


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