Worksheet: Scalar and Vector Quantities

In this worksheet, we will practice distinguishing between scalar quantities with magnitudes and vector quantities with both directions and magnitudes.

Q1:

If an acceleration is multiplied by a time, is the resultant quantity a vector quantity or a scalar quantity?

  • AVector
  • BScalar

Q2:

A set of measured values of a quantity are recorded as having the values 7 units, 4 units, negative 2 units, and 6 units. Which of the following types of quantities could these measurements represent?

  • AA vector quantity only
  • BNeither a scalar quantity nor a vector quantity
  • CA scalar quantity only
  • DEither a scalar quantity or a vector quantity

Q3:

If a time is multiplied by a velocity, is the resultant quantity a vector quantity or a scalar quantity?

  • AVector
  • BScalar

Q4:

If a speed is multiplied by a time, is the resultant quantity a vector quantity or a scalar quantity?

  • AScalar
  • BVector

Q5:

If a force is divided by a time, is the resultant quantity a vector quantity or a scalar quantity?

  • AVector
  • BScalar

Q6:

The two vectors shown can be added to produce a resultant vector. Which of the following diagrams correctly shows a comparison of both of these vectors to the resultant of the vectors?

  • A
  • B
  • C
  • D
  • E

Q7:

Three measured values of displacement are 6 cm east, 4 cm north, and 5 cm south. A student argues that the average displacement value is 5 cm east, as north multiplied by south equals 1. Which of the following statements explains why the student is incorrect?

  • ANorth multiplied by south equals zero.
  • BVector values cannot be divided by nonvector values.
  • CNorth multiplied by south equals minus one.
  • DNorth multiplied by south is not defined.
  • EVector values cannot be added to other vector values.

Q8:

If an area is multiplied by a length, is the resultant quantity a vector quantity or a scalar quantity?

  • AScalar
  • BVector

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