# Worksheet: Vector Operations in 3D

In this worksheet, we will practice doing operations on vectors in 3D, such as addition, subtraction, and scalar multiplication.

**Q1: **

If and , find .

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**Q2: **

If and , find .

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**Q3: **

If , and , determine the vector for which .

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**Q5: **

If and , find .

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**Q6: **

If , , and , find .

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**Q7: **

If , , and , find .

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**Q8: **

Suppose that , , and . What is ?

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**Q9: **

Given that and that is a unit vector equal to , determine the possible values of .

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**Q10: **

Suppose a unit vector is such that . Determine the possible values of .

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**Q11: **

Given and , determine the unit vector in the direction –.

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**Q12: **

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

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