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If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?

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Question: If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?

Options:

  1. (3, 3, 3)
  2. (1, 3, 3)
  3. (2, 3, 3)
  4. (2, 3, 5)

Correct Answer: (3, 3, 3)

Solution: 

a + b = (2+1, 3+0, 4-1) = (3, 3, 3).

If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?

Practice Questions

Q1
If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?
  1. (3, 3, 3)
  2. (1, 3, 3)
  3. (2, 3, 3)
  4. (2, 3, 5)

Questions & Step-by-Step Solutions

If the vector a = (2, 3, 4) and b = (1, 0, -1), what is a + b?
  • Step 1: Identify the components of vector a, which are (2, 3, 4).
  • Step 2: Identify the components of vector b, which are (1, 0, -1).
  • Step 3: Add the first components of a and b: 2 + 1 = 3.
  • Step 4: Add the second components of a and b: 3 + 0 = 3.
  • Step 5: Add the third components of a and b: 4 + (-1) = 3.
  • Step 6: Combine the results from Steps 3, 4, and 5 to form the new vector: (3, 3, 3).
  • Vector Addition – The process of adding corresponding components of two vectors to produce a new vector.
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