# Worksheet: Vector Subtraction

In this worksheet, we will practice subtracting one vector from another in two dimensions, using both graphical and algebraic methods.

**Q1: **

The diagram shows seven vectors: , , , , , , and .

Which of the vectors is equal to ?

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Which of the vectors is equal to ?

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**Q2: **

The diagram shows three vectors: , , and . Which of the following expressions gives in terms of and ?

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**Q3: **

Which of the vectors, , , , , or , shown in the diagram is equal to ?

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**Q4: **

Consider the two vectors and . and . Which of the five vectors shown in the diagram is equal to ?

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**Q5: **

Which of the vectors, , , , , or , shown in the diagram is equal to ?

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**Q6: **

The diagram shows two vectors: and . Work out in component form.

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**Q7: **

Which of the vectors, , , , , or , shown in the diagram is equal to ?

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**Q8: **

Consider the two vectors and . and . Which of the five vectors shown in the diagram is equal to ?

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**Q9: **

The diagram shows three vectors: , , and . Which of the following expressions gives in terms of and ?

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**Q10: **

Consider two vectors and , where and . Calculate .

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**Q11: **

Consider two vectors and , where and . Calculate .

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**Q12: **

Which of the vectors, , , , , or , shown in the diagram is equal to ?

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**Q13: **

Consider the two vectors and , where and . Calculate .

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**Q14: **

The diagram shows two vectors: and . Work out in component form.

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**Q15: **

The diagram shows four vectors: , , , and .

Which of the vectors and is equal to ?

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Which of the vectors and is equal to ?

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