# 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 same direction as the vector .

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**Q3: **

Which of these vectors has the greatest magnitude?

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**Q4: **

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

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**Q5: **

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

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**Q6: **

Given and , determine the unit vector in the direction .

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**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 .

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**Q9: **

Given that , find .

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**Q10: **

Given that , find .

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**Q11: **

Given that , find .

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**Q12: **

is represented by the following graph.

Which of the following graphs represents ?

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**Q13: **

is represented by the following graph.

Which of the following graphs represents ?

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**Q15: **

Determine the unit vector of vector from the following graph.

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**Q16: **

Given that , find .

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**Q17: **

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

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