# Worksheet: Vector Addition

In this worksheet, we will practice adding two or more vectors in two dimensions, using both graphical and algebraic methods.

**Q1: **

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

- A
- B
- C
- D
- E

**Q2: **

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

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- B
- C
- D
- E

**Q3: **

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

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- B
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- D
- E

**Q4: **

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

- A
- B
- C
- D
- E

**Q5: **

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

- A
- B
- C
- D
- E

**Q6: **

The diagram shows two vectors, and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
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- E

**Q7: **

Consider the three vectors: , , and . , , and . Which of the vectors shown in the diagram is equal to ? The grid squares in the diagram have a side length of 1.

- A
- B
- C
- D
- E

**Q8: **

The diagram shows two vectors: and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
- B
- C
- D
- E

**Q9: **

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

- A
- B
- C
- D
- E

**Q10: **

Consider two vectors and . and . Calculate .

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**Q11: **

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

- A
- B
- C
- D
- E

**Q12: **

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

- A
- B
- C
- D
- E

**Q13: **

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

- A
- B
- C
- D
- E

**Q14: **

The diagram shows four vectors: , , , and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
- B
- C
- D
- E

**Q15: **

The diagram shows two vectors, and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
- B
- C
- D
- E

**Q16: **

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

- A
- B
- C
- D
- E

**Q17: **

Consider two vectors: and . and . Which of the vectors shown in the diagram is equal to ? The grid squares in the diagram have a side length of 1.

- A
- B
- C
- D
- E

**Q18: **

The diagram shows three vectors: , , and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
- B
- C
- D
- E

**Q19: **

Which three of the vectors shown in the diagram produce a vector with a magnitude of zero when added together?

- A, , and
- B, , and
- C, , and
- D, , and
- E, , and

**Q20: **

The diagram shows two vectors: and . The grid squares in the diagram have a side length of 1. What is in component form?

- A
- B
- C
- D
- E

**Q21: **

Consider two vectors: and . and . Calculate .

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**Q22: **

Consider two vectors: and . and . Calculate .

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**Q23: **

Two forces act on an object: and . What is the total force acting on the object in component form?

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