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If A = 3i + 4j and B = 2i - j, what is A + B? (2021)

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Question: If A = 3i + 4j and B = 2i - j, what is A + B? (2021)

Options:

  1. 5i + 3j
  2. 5i + 5j
  3. 1i + 5j
  4. 1i + 3j

Correct Answer: 5i + 3j

Solution: 

A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.

If A = 3i + 4j and B = 2i - j, what is A + B? (2021)

Practice Questions

Q1
If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
  1. 5i + 3j
  2. 5i + 5j
  3. 1i + 5j
  4. 1i + 3j

Questions & Step-by-Step Solutions

If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
  • Step 1: Identify the vectors A and B. A = 3i + 4j and B = 2i - j.
  • Step 2: Write down the expression for A + B. It is (3i + 4j) + (2i - j).
  • Step 3: Combine the i components. Add 3 (from A) and 2 (from B) to get 5i.
  • Step 4: Combine the j components. Add 4 (from A) and -1 (from B, since -j is -1j) to get 3j.
  • Step 5: Write the final result. A + B = 5i + 3j.
  • Vector Addition – The process of adding two vectors by combining their corresponding components.
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