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Scalar and Vector Quantities Worksheet

Explore the fundamental differences between scalar and vector quantities, their properties, and how to represent them.

Grade 12 Math AlgebraVector AlgebraScalar and Vector Quantities
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerWord Bank

Standards

CCSS.MATH.CONTENT.HSA.APR.C.4CCSS.MATH.CONTENT.HSN.VM.A.1

Topics

mathalgebravectorsscalarsgrade-12
7 sections · Free to use · Printable
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Scalar and Vector Quantities

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Read each question carefully and provide your answers in the space provided. Show all your work for calculation-based problems.

1. Which of the following is a scalar quantity?

a

Force

b

Velocity

c

Mass

d

Acceleration

2. A vector quantity is completely described by:

a

Magnitude only

b

Direction only

c

Magnitude and direction

d

Units only

3. The length of a vector is called its  .

4.   quantities have both magnitude and direction.

5. Temperature is an example of a   quantity.

6. Displacement is a scalar quantity.

T

True

F

False

7. Speed is a vector quantity.

T

True

F

False

8. Explain the key difference between a scalar and a vector quantity. Provide an example of each.

9. Draw a vector representing a displacement of 5 km East. Label its magnitude and direction.

5 km(East)

Use the words below to complete the sentences.

magnitude
direction
scalar
vector

10. A quantity that has only   is called a   quantity.

11. A   quantity has both   and  .