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If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

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Question: If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

Options:

  1. 0
  2. 2
  3. 3
  4. 4

Correct Answer: 0

Solution: 

A · B = 2*0 + 3*0 + 4*0 = 0.

If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

Practice Questions

Q1
If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?
  1. 0
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?
  • Step 1: Identify the components of vector A, which are 2, 3, and 4.
  • Step 2: Identify the components of vector B, which are 0, 0, and 0.
  • Step 3: Multiply the first component of A (which is 2) by the first component of B (which is 0). This gives 2 * 0 = 0.
  • Step 4: Multiply the second component of A (which is 3) by the second component of B (which is 0). This gives 3 * 0 = 0.
  • Step 5: Multiply the third component of A (which is 4) by the third component of B (which is 0). This gives 4 * 0 = 0.
  • Step 6: Add all the results from Steps 3, 4, and 5 together: 0 + 0 + 0 = 0.
  • Step 7: The final result of A · B is 0.
  • Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
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