# 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 .

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Q2:

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

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Q3:

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

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Q4:

Given and , determine the unit vector in the direction .

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Q5:

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

• AYes
• BNo

Q6:

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

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Q7:

Given that , find .

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Q8:

Given that , find .

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Q9:

Given that , find .

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Q10:

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

• A • B • C • D • E Q11:

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

• A • B • C • D • E Q12:

What is the unit vector in the same direction as ?

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• E5

Q13:

Determine the unit vector of vector from the following graph. • A
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Q14:

Given that , find .

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Q15:

Given that is represented by the graph shown, which of the following represents ? • A • B • C • D • E Q16:

All of the following are unit vectors except .

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Q17:

Find the unit vector in the direction of . • A
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Q18:

Given points and , find point such that .

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