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What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?

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Question: What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?

Options:

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

Correct Answer: 3

Solution: 

A · B = 1*1 + 1*1 + 1*1 = 1 + 1 + 1 = 3.

What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?

Practice Questions

Q1
What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
  1. 1
  2. 2
  3. 3
  4. 0

Questions & Step-by-Step Solutions

What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
Correct Answer: 3
  • Step 1: Identify the components of vector A, which are (1, 1, 1).
  • Step 2: Identify the components of vector B, which are (1, 1, 1).
  • Step 3: Multiply the first component of A by the first component of B: 1 * 1.
  • Step 4: Multiply the second component of A by the second component of B: 1 * 1.
  • Step 5: Multiply the third component of A by the third component of B: 1 * 1.
  • Step 6: Add the results from Steps 3, 4, and 5 together: 1 + 1 + 1.
  • Step 7: Calculate the final result: 1 + 1 + 1 = 3.
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