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For vectors A = (2, 3) and B = (4, 5), find the scalar product A · B.

Practice Questions

Q1
For vectors A = (2, 3) and B = (4, 5), find the scalar product A · B.
  1. 23
  2. 22
  3. 21
  4. 20

Questions & Step-by-Step Solutions

For vectors A = (2, 3) and B = (4, 5), find the scalar product A · B.
  • Step 1: Identify the components of vector A, which are 2 and 3.
  • Step 2: Identify the components of vector B, which are 4 and 5.
  • Step 3: Multiply the first component of A (which is 2) by the first component of B (which is 4). This gives you 2 * 4 = 8.
  • Step 4: Multiply the second component of A (which is 3) by the second component of B (which is 5). This gives you 3 * 5 = 15.
  • Step 5: Add the results from Step 3 and Step 4 together. So, 8 + 15 = 23.
  • Step 6: The scalar product A · B is 23.
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