Which pair of quantities are both scalars?
Correct answer: C. Work and power
- A. Force and acceleration
- B. Velocity and momentum
- C. Work and power
- D. Torque and displacement
Explanation
Work and power have magnitude only, with work being a dot product and power its rate of change with time. Force, acceleration, velocity, momentum, torque and displacement are all vectors. The habit worth building is to ask whether reversing the direction changes the physical meaning, since for work it does not.
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About Scalar Product
The scalar product of two vectors is A dot B equals AB cos theta, producing a scalar determined by their magnitudes and included angle. Applications include work done and projection of one vector on another, with perpendicular vectors giving zero and the scalar product distinguished from the vector product.
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