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

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Question: What is the scalar product of the vectors (3, 4) and (4, 3)?

Options:

  1. 12
  2. 25
  3. 24
  4. 21

Correct Answer: 25

Solution: 

The scalar product is 3*4 + 4*3 = 12 + 12 = 24.

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

Practice Questions

Q1
What is the scalar product of the vectors (3, 4) and (4, 3)?
  1. 12
  2. 25
  3. 24
  4. 21

Questions & Step-by-Step Solutions

What is the scalar product of the vectors (3, 4) and (4, 3)?
Correct Answer: 24
  • Step 1: Identify the two vectors. The first vector is (3, 4) and the second vector is (4, 3).
  • Step 2: Multiply the first component of the first vector (3) by the first component of the second vector (4). This gives you 3 * 4 = 12.
  • Step 3: Multiply the second component of the first vector (4) by the second component of the second vector (3). This gives you 4 * 3 = 12.
  • Step 4: Add the results from Step 2 and Step 3 together. So, 12 + 12 = 24.
  • Step 5: The final result, 24, is the scalar product of the two vectors.
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