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

Practice Questions

Q1
For vectors A = 6i + 8j and B = 2i + 3j, find A · B.
  1. 42
  2. 48
  3. 36
  4. 30

Questions & Step-by-Step Solutions

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