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If I = (1, 2, 3) and J = (4, 5, 6), calculate I · J.

Practice Questions

Q1
If I = (1, 2, 3) and J = (4, 5, 6), calculate I · J.
  1. 32
  2. 30
  3. 28
  4. 26

Questions & Step-by-Step Solutions

If I = (1, 2, 3) and J = (4, 5, 6), calculate I · J.
  • Step 1: Identify the components of vector I, which are 1, 2, and 3.
  • Step 2: Identify the components of vector J, which are 4, 5, and 6.
  • Step 3: Multiply the first component of I (1) by the first component of J (4). This gives 1 * 4 = 4.
  • Step 4: Multiply the second component of I (2) by the second component of J (5). This gives 2 * 5 = 10.
  • Step 5: Multiply the third component of I (3) by the third component of J (6). This gives 3 * 6 = 18.
  • Step 6: Add the results from Steps 3, 4, and 5 together: 4 + 10 + 18.
  • Step 7: Calculate the total: 4 + 10 = 14, then 14 + 18 = 32.
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