Which of the following quantities are vectors?

• A. $\text{Energy}$ and $\text{time}$
• B. $\text{Speed}$ and $\text{distance}$
• C. $\text{Displacement}$ and $\text{velocity}$
• D. $\text{Mass}$ and $\text{temperature}$

Answer: (C)

Verified step by step guidance

1. Step 1: Understand the difference between scalar and vector quantities. Scalars have only magnitude (size), while vectors have both magnitude and direction.
2. Step 2: Analyze each quantity given: Energy and time are scalars because they have magnitude but no direction.
3. Step 3: Speed and distance are also scalars. Speed is the magnitude of velocity, and distance is the total length traveled without direction.
4. Step 4: Displacement and velocity are vectors because they include both magnitude and direction. Displacement is the straight-line distance from the starting point to the ending point with direction, and velocity is speed with direction.
5. Step 5: Mass and temperature are scalars since they only have magnitude and no directional component.