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, P, Q, R, S, or T, shown in the diagram is equal to AB+?

  • AP
  • BS
  • CT
  • DR
  • EQ

Q2:

Which of the vectors P, Q, R, S, and T shown in the diagram is equal to AB+?

  • AQ
  • BP
  • CT
  • DS
  • ER

Q3:

Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to AB+?

  • AP
  • BT
  • CS
  • DQ
  • ER

Q4:

Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to AB+?

  • AQ
  • BT
  • CS
  • DP
  • ER

Q5:

Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to AB+?

  • AR
  • BS
  • CT
  • DP
  • EQ

Q6:

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

  • A1+2ij
  • B12ij
  • C8+5ij
  • D21ij
  • E58ij

Q7:

Consider the three vectors: A, B, and C. Aij=2+7, Bij=4+8, and Cij=69. Which of the vectors shown in the diagram is equal to ABC++? The grid squares in the diagram have a side length of 1.

  • AR
  • BQ
  • CS
  • DP
  • ET

Q8:

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

  • A7+5ij
  • B5+7ij
  • C1+3ij
  • D1+4ij
  • E3+4ij

Q9:

Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to AB+?

  • AS
  • BR
  • CT
  • DQ
  • EP

Q10:

Consider two vectors A and B. Aij=2+3 and Bij=7+5. Calculate AB+.

  • A5+2ij
  • B2+5ij
  • C5+12ij
  • D8+9ij
  • E9+8ij

Q11:

Which of the vectors P, Q, R, S, and T shown in the diagram is equal to ABC++?

  • AP
  • BS
  • CT
  • DR
  • EQ

Q12:

Which of the vectors P, Q, R, S, and T shown in the diagram is equal to AB+?

  • AS
  • BR
  • CQ
  • DP
  • ET

Q13:

Which of the vectors P, Q, R, S, and T shown in the diagram is equal to ABC++?

  • AQ
  • BR
  • CP
  • DT
  • ES

Q14:

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

  • A56ij
  • B3+9ij
  • C4ij
  • D2+3ij
  • E1+7ij

Q15:

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

  • A53ij
  • B3+5ij
  • C35ij
  • D7+3ij
  • E73ij

Q16:

Which of the vectors P, Q, R, S, and T shown in the diagram is equal to AB+?

  • AT
  • BQ
  • CP
  • DS
  • ER

Q17:

Consider two vectors: A and B. Aij=5+1 and Bij=2+4. Which of the vectors shown in the diagram is equal to AB+? The grid squares in the diagram have a side length of 1.

  • AT
  • BQ
  • CS
  • DP
  • ER

Q18:

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

  • A3+7ij
  • B2+1ij
  • C2+13ij
  • D74ij
  • E2+1ij

Q19:

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

  • AQ, R, and S
  • BP, R, and T
  • CP, R, and S
  • DQ, R, and T
  • ES, R, and T

Q20:

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

  • A7i
  • B10+3ij
  • C7j
  • D103ij
  • E7j

Q21:

Consider two vectors: A and B. Aij=77 and Bij=62. Calculate AB+.

  • A51ij
  • B139ij
  • C15ij
  • D13+9ij
  • E1+5ij

Q22:

Consider two vectors: A and B. Aij=33 and Bij=4+9. Calculate AB+.

  • A1+6ij
  • B97ij
  • C61ij
  • D16ij
  • E79ij

Q23:

Two forces act on an object: Fij=20+50NN and Fij=30+10NN. What is the total force acting on the object in component form?

  • A5040NNij
  • B10+60NNij
  • C50+40NNij
  • D10+60NNij
  • E6010NNij

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