What is the scalar product of the vectors (4, -3, 2) and (1, 1, 1)?

Practice Questions

Q1
What is the scalar product of the vectors (4, -3, 2) and (1, 1, 1)?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

What is the scalar product of the vectors (4, -3, 2) and (1, 1, 1)?
  • Step 1: Identify the two vectors. The first vector is (4, -3, 2) and the second vector is (1, 1, 1).
  • Step 2: Multiply the corresponding components of the two vectors. This means you will multiply the first number of the first vector by the first number of the second vector, the second number of the first vector by the second number of the second vector, and the third number of the first vector by the third number of the second vector.
  • Step 3: Perform the multiplications: 4 * 1 = 4, -3 * 1 = -3, and 2 * 1 = 2.
  • Step 4: Add the results of the multiplications together: 4 + (-3) + 2.
  • Step 5: Simplify the addition: 4 - 3 + 2 = 1 + 2 = 3.
  • Step 6: The final result is the scalar product, which is 3.
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