Vectors vs. Scalars: Quantities with Direction

Steps:

• Define vectors as quantities with magnitude and direction; scalars as having only magnitude.
• Classify quantities: displacement, velocity, acceleration, force, electric field have direction (vectors); speed, work, power do not (scalars).
• Check option A: acceleration and electric field are vectors, but work is scalar.
• Check options B, C, D: B has only scalars; C has all vectors; D mixes scalar power with vectors.

Why C is correct:

• Displacement, force, and velocity all have magnitude and direction, fitting the vector definition (e.g., velocity = displacement/time, both directional).

Why the others are wrong:

• A: Work is scalar (force · displacement, a dot product yielding magnitude only).
• B: Speed and work are both scalars, with no direction.
• D: Power is scalar (work/time, energy transfer rate without direction).

Final answer: C