# Worksheet: Scalar Multiplication and Unit Vectors

In this worksheet, we will practice multiplying a vector by a scalar and how to find a unit vector in the direction of any given vector by dividing the vector by a scalar.

Q1:

Find the unit vector in the same direction as the vector .

• A
• B
• C
• D
• E

Q2:

Find the unit vector in the same direction as the vector .

• A
• B
• C
• D
• E

Q3:

Which of these vectors has the greatest magnitude?

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• D
• E

Q4:

Find the unit vector in the direction of , given and .

• A
• B
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• D
• E

Q5:

Find the unit vector in the same direction as the vector .

• A
• B
• C
• D
• E

Q6:

Given and , determine the unit vector in the direction .

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• B
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• D
• E

Q7:

Consider the vector . Is the unit vector in the direction of the same as the unit vector in the direction of ?

• AYes
• BNo

Q8:

Given that and , find the unit vector in the direction of .

• A
• B
• C
• D
• E

Q9:

Given that , find .

• A
• B
• C
• D
• E

Q10:

Given that , find .

• A
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• E

Q11:

Given that , find .

• A
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• D
• E

Q12:

is represented by the following graph. Which of the following graphs represents ?

• A • B • C • D • E Q13:

is represented by the following graph. Which of the following graphs represents ?

• A • B • C • D • E Q14:

What is the unit vector in the same direction as ?

• A
• B
• C
• D
• E5

Q15:

Determine the unit vector of vector from the following graph. • A
• B
• C
• D
• E

Q16:

Given that , find .

• A
• B
• C
• D

Q17:

Given that is represented by the graph shown, which of the following represents ? • A • B • C • D • E 