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If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?

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Question: If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?

Options:

  1. (5, 7, 9)
  2. (4, 5, 6)
  3. (1, 2, 3)
  4. (0, 0, 0)

Correct Answer: (5, 7, 9)

Solution: 

A + B = (1+4, 2+5, 3+6) = (5, 7, 9).

If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?

Practice Questions

Q1
If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?
  1. (5, 7, 9)
  2. (4, 5, 6)
  3. (1, 2, 3)
  4. (0, 0, 0)

Questions & Step-by-Step Solutions

If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is A + B?
  • Step 1: Identify the components of vector A, which are (1, 2, 3).
  • Step 2: Identify the components of vector B, which are (4, 5, 6).
  • Step 3: Add the first components of A and B: 1 + 4 = 5.
  • Step 4: Add the second components of A and B: 2 + 5 = 7.
  • Step 5: Add the third components of A and B: 3 + 6 = 9.
  • Step 6: Combine the results from steps 3, 4, and 5 to form the new vector: (5, 7, 9).
  • Vector Addition – The process of adding two vectors by adding their corresponding components.
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