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

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

Options:

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

Correct Answer: (3, 2)

Solution: 

a + b = (2 + 1, -1 + 3) = (3, 2)

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

Practice Questions

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

Questions & Step-by-Step Solutions

If the vector a = (2, -1) and b = (1, 3), what is a + b?
  • Step 1: Identify the components of vector a, which are (2, -1).
  • Step 2: Identify the components of vector b, which are (1, 3).
  • Step 3: Add the first components of both vectors: 2 (from a) + 1 (from b) = 3.
  • Step 4: Add the second components of both vectors: -1 (from a) + 3 (from b) = 2.
  • Step 5: Combine the results from Step 3 and Step 4 to form the new vector: (3, 2).
  • Vector Addition – Understanding how to add two vectors by adding their corresponding components.
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