# 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 .

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- 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 .

- A
- B
- C
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- 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 .

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**Q10: **

Given that , find .

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- E

**Q11: **

Given that , find .

- A
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- E

**Q12: **

is represented by the following graph.

Which of the following graphs represents ?

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- 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.

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- B
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- D
- E

**Q16: **

Given that , find .

- A
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- D

**Q17: **

Given that is represented by the graph shown, which of the following represents ?

- A
- B
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- D
- E