Calculate the scalar product of A = (1, 1, 1) and B = (2, 2, 2).

Practice Questions

Q1
Calculate the scalar product of A = (1, 1, 1) and B = (2, 2, 2).
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

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