Question

# What happens if a vector is multiplied by a 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 C The magnitude of the vector is doubled and its direction is reversedMultiplication of a vector by a real negative number – n makes its magnitude n times and also reverses the direction of the vector. Hence the correct choice is (c).

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