Scalars vs. Vectors in Physics

Steps:

• Recall that scalar quantities have magnitude only, while vectors have both magnitude and direction.
• Examine option A: area and length are scalars, but displacement is a vector (has direction).
• Examine option B: kinetic energy (½mv²), speed (distance/time), and power (work/time) all depend only on magnitude.
• Confirm options C and D each include vectors: momentum (mass × velocity) and velocity itself.

Why B is correct:

• Kinetic energy, speed, and power are defined by formulas involving only magnitudes, lacking directional components.

Why the others are wrong:

• A includes displacement, a vector quantity.
• C includes momentum, a vector (mass times velocity vector).
• D includes velocity, a vector quantity.

Final answer: B