Question

14. Which one of the following statements correctly explains the difference between scalar and vector quantities?
A. Scalar quantities have both magnitude and direction, while vector quantities have only magnitude
B. Vector quantities have both magnitude and direction, while scalar quantities have only magnitude.
C. Scalar quantities are always positive, while vector quantities can be negative
D. Vector quantities can be multiple and division ,while scalar quantities can be added and subtract only

Answer 1

B.

Vector quantities have both magnitude and direction (e.g., displacement, velocity, force). Scalar quantities have only magnitude (e.g., mass, time, temperature).

Why the others are wrong:
- A is reversed.
- C is false because scalars can be negative in some contexts (e.g., temperature on Celsius scale).
- D is misleading: scalars can be added/subtracted and multiplied/divided; vectors require vector addition (considering direction) and can also be multiplied (dot/cross products).