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For vectors A = 2i + 3j and B = 5i + 6j, what is A · B?

Practice Questions

Q1
For vectors A = 2i + 3j and B = 5i + 6j, what is A · B?
  1. 28
  2. 30
  3. 32
  4. 26

Questions & Step-by-Step Solutions

For vectors A = 2i + 3j and B = 5i + 6j, what is A · B?
  • Step 1: Identify the components of vector A. A = 2i + 3j means A has a component of 2 in the i direction and 3 in the j direction.
  • Step 2: Identify the components of vector B. B = 5i + 6j means B has a component of 5 in the i direction and 6 in the j direction.
  • Step 3: Multiply the i components of A and B together. This is (2)(5) = 10.
  • Step 4: Multiply the j components of A and B together. This is (3)(6) = 18.
  • Step 5: Add the results from Step 3 and Step 4 together. This is 10 + 18 = 28.
  • Step 6: The final result of A · B is 28.
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