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If C = (3, -1, 2) and D = (0, 4, -1), what is the value of C · D?

Practice Questions

Q1
If C = (3, -1, 2) and D = (0, 4, -1), what is the value of C · D?
  1. -2
  2. 1
  3. 2
  4. 10

Questions & Step-by-Step Solutions

If C = (3, -1, 2) and D = (0, 4, -1), what is the value of C · D?
  • Step 1: Identify the coordinates of vector C, which are (3, -1, 2).
  • Step 2: Identify the coordinates of vector D, which are (0, 4, -1).
  • Step 3: Multiply the first components of C and D: 3 * 0 = 0.
  • Step 4: Multiply the second components of C and D: -1 * 4 = -4.
  • Step 5: Multiply the third components of C and D: 2 * -1 = -2.
  • Step 6: Add the results from Steps 3, 4, and 5: 0 + (-4) + (-2).
  • Step 7: Calculate the sum: 0 - 4 - 2 = -6.
  • Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
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