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If vector A = 5i + 12j and vector B = -5i + 12j, what is the resultant vector A

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Question: If vector A = 5i + 12j and vector B = -5i + 12j, what is the resultant vector A + B? (2021)

Options:

  1. 0i + 24j
  2. 10i + 0j
  3. 0i + 12j
  4. 5i + 12j

Correct Answer: 0i + 24j

Exam Year: 2021

Solution: 

A + B = (5 - 5)i + (12 + 12)j = 0i + 24j.

If vector A = 5i + 12j and vector B = -5i + 12j, what is the resultant vector A

Practice Questions

Q1
If vector A = 5i + 12j and vector B = -5i + 12j, what is the resultant vector A + B? (2021)
  1. 0i + 24j
  2. 10i + 0j
  3. 0i + 12j
  4. 5i + 12j

Questions & Step-by-Step Solutions

If vector A = 5i + 12j and vector B = -5i + 12j, what is the resultant vector A + B? (2021)
  • Step 1: Identify the components of vector A, which are 5i and 12j.
  • Step 2: Identify the components of vector B, which are -5i and 12j.
  • Step 3: Add the i components of A and B: 5i + (-5i) = (5 - 5)i = 0i.
  • Step 4: Add the j components of A and B: 12j + 12j = (12 + 12)j = 24j.
  • Step 5: Combine the results from Step 3 and Step 4 to get the resultant vector: 0i + 24j.
  • Vector Addition – Understanding how to add vectors by combining their respective components.
  • Component Form – Recognizing vectors in component form (i.e., using i and j to denote the x and y components).
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