What happens when we multiply a vector by (-2)?

direction reverses and unit changes.

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direction reverses and magnitude is doubled.

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direction remains unchanged but unit changes.

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neither direction reverses nor unit changes but magnitude is doubled.

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Solution

The correct option is C direction reverses and magnitude is doubled.
When a vector is multiplied by {-2}, the resultant vector is in opposite direction and the magnitude doubles.

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Similar questions

Which of the following is true about multiplication of a vector by a scalar.

1) Scalar multiplication by a positive number other than 1 changes its magnitude but not direction.

2) Scalar multiplication always lead to change in magnitude and direction.

3) Scalar multiplication by -1 will not change the magnitude of the vector but will change its direction.

4) Scalar multiplication by a negative number other than -1 will reverse its direction and change its magnitude as well.

Which of the following is true about multiplication of a vector by a scalar.

1) Scalar multiplication by a positive number other than 1 changes its magnitude but not direction.

2) Scalar multiplication always lead to change in magnitude and direction.

3) Scalar multiplication by -1 will not change the magnitude of the vector but will change its direction.

4) Scalar multiplication by a negative number other than -1 will reverse its direction and change its magnitude as well.

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