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If u = (1, 2) and v = (3, 4), what is u + v?

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Question: If u = (1, 2) and v = (3, 4), what is u + v?

Options:

  1. (4, 6)
  2. (2, 3)
  3. (1, 2)
  4. (3, 4)

Correct Answer: (4, 6)

Solution: 

u + v = (1 + 3, 2 + 4) = (4, 6)

If u = (1, 2) and v = (3, 4), what is u + v?

Practice Questions

Q1
If u = (1, 2) and v = (3, 4), what is u + v?
  1. (4, 6)
  2. (2, 3)
  3. (1, 2)
  4. (3, 4)

Questions & Step-by-Step Solutions

If u = (1, 2) and v = (3, 4), what is u + v?
  • Step 1: Identify the components of vector u, which are 1 and 2.
  • Step 2: Identify the components of vector v, which are 3 and 4.
  • Step 3: Add the first components of u and v: 1 + 3 = 4.
  • Step 4: Add the second components of u and v: 2 + 4 = 6.
  • Step 5: Combine the results from Step 3 and Step 4 to form the new vector: (4, 6).
  • Vector Addition – This concept involves adding corresponding components of two vectors to obtain a resultant vector.
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