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.
• B. The magnitude of the vector remains the same but its direction is reversed.
• C. The magnitude of the vector is doubled and its direction is reversed.
• D. Neither the magnitude nor the direction of the vector undergo any change.

Answer 1

The correct option is C

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

Multiplication 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 option is (c).