# Worksheet: Vector Operations

Q1:

Given that and , find .

• A
• B
• C
• D

Q2:

Given that and , find .

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Q3:

Given that and , find .

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Q4:

Given that and , find .

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Q5:

Given that and , find .

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Q6:

Given that and , find .

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Q7:

Given that and , find .

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Q8:

Given that and , find .

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Q9:

Given that and , find .

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Q10:

Given that and , find .

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Q11:

Given that and , find .

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Q12:

Given that and , find .

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Q13:

On a lattice, where , , and , determine the coordinates of the point .

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Q14:

Given that and , find the components of .

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Q15:

A force of newtons is being applied to an object. What other force should be applied to achieve a total force of newtons?

• A newtons
• B newtons
• C newtons
• D newtons
• E newtons

Q16:

Given that , , and , find the components of .

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• E

Q17:

Given that , , and , find the components of .

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• E

Q18:

Given that and , find the components of .

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• E

Q19:

and Find .

Q20:

Shown on the grid of unit squares are the vectors , , and .

What are the components of ?

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• E

What are the components of ?

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What are the components of ?

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Q21:

The figure shows a regular hexagon divided into 6 equilateral triangles. Which of the following is equal to ?

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Q22:

Given that and , find the components of .

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• E

Q23:

Given that and , find the possible values of .

• A
• B12
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• D

Q24:

Given that , and , find the components of .

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• E

Q25:

Given that = and = find the components of + .

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• E