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 ? • A
• B
• C
• D
• E

Q3:

Which of the vectors, , , , , or , shown in the diagram is equal to ? • A
• B
• C
• 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
• B
• C
• D
• 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 .

• A
• B
• C
• D
• E

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 .

• A
• B
• C
• D
• E

Q22:

Consider two vectors: and . and . Calculate .

• A
• B
• C
• D
• E

Q23:

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

• A
• B
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• D
• E