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
• C
• D
• E

Q24:

Two perpendicular forces, and , act on an object, as shown in the figure below. Which of the following correctly represents the relation between the magnitude of the resultant force, F, and the magnitudes of the two forces, and ? • A
• B
• C
• D

Q25:

The following figure shows two vectors of the same type, and . If , which of the following represents vector ? • A • B • C • D 