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

Practice Questions

Q1
What is the scalar product of the vectors (5, -3) and (-2, 4)?
  1. -6
  2. 10
  3. 22
  4. 26

Questions & Step-by-Step Solutions

What is the scalar product of the vectors (5, -3) and (-2, 4)?
  • Step 1: Identify the components of the first vector (5, -3). Here, 5 is the first component and -3 is the second component.
  • Step 2: Identify the components of the second vector (-2, 4). Here, -2 is the first component and 4 is the second component.
  • Step 3: Multiply the first components of both vectors: 5 * (-2) = -10.
  • Step 4: Multiply the second components of both vectors: -3 * 4 = -12.
  • Step 5: Add the results from Step 3 and Step 4: -10 + (-12) = -10 - 12 = -22.
  • Step 6: The scalar product of the vectors (5, -3) and (-2, 4) is -22.
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