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What is the scalar product of the vectors (3, 4) and (4, 3)?
What is the scalar product of the vectors (3, 4) and (4, 3)?
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Practice Questions
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Q1
What is the scalar product of the vectors (3, 4) and (4, 3)?
12
25
24
21
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The scalar product is 3*4 + 4*3 = 12 + 12 = 24.
Questions & Step-by-step Solutions
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Q
Q: What is the scalar product of the vectors (3, 4) and (4, 3)?
Solution:
The scalar product is 3*4 + 4*3 = 12 + 12 = 24.
Steps: 5
Show Steps
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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