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If A = 6i + 8j and B = 2i + 3j, find A · B.

Practice Questions

Q1
If A = 6i + 8j and B = 2i + 3j, find A · B.
  1. 36
  2. 42
  3. 30
  4. 24

Questions & Step-by-Step Solutions

If A = 6i + 8j and B = 2i + 3j, find A · B.
  • Step 1: Identify the components of vector A, which are 6i and 8j.
  • Step 2: Identify the components of vector B, which are 2i and 3j.
  • Step 3: Multiply the i components of A and B: 6 (from A) times 2 (from B) equals 12.
  • Step 4: Multiply the j components of A and B: 8 (from A) times 3 (from B) equals 24.
  • Step 5: Add the results from Step 3 and Step 4: 12 plus 24 equals 36.
  • Step 6: The final result of A · B is 36.
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