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What is the dot product of vectors (1, 2) and (3, 4)?

Practice Questions

Q1
What is the dot product of vectors (1, 2) and (3, 4)?
  1. 11
  2. 10
  3. 12
  4. 7

Questions & Step-by-Step Solutions

What is the dot product of vectors (1, 2) and (3, 4)?
  • Step 1: Identify the two vectors. The first vector is (1, 2) and the second vector is (3, 4).
  • Step 2: Multiply the first component of the first vector (1) by the first component of the second vector (3). This gives you 1 * 3 = 3.
  • Step 3: Multiply the second component of the first vector (2) by the second component of the second vector (4). This gives you 2 * 4 = 8.
  • Step 4: Add the results from Step 2 and Step 3 together. So, 3 + 8 = 11.
  • Step 5: The final result, which is the dot product of the vectors (1, 2) and (3, 4), is 11.
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