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 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).