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
• 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 choice is (c).