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What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
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What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
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A · B = 1*1 + 1*1 + 1*1 = 1 + 1 + 1 = 3.
Questions & Step-by-step Solutions
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Q
Q: What is the scalar product of the vectors A = (1, 1, 1) and B = (1, 1, 1)?
Solution:
A · B = 1*1 + 1*1 + 1*1 = 1 + 1 + 1 = 3.
Steps: 7
Show Steps
Step 1: Identify the components of vector A, which are (1, 1, 1).
Step 2: Identify the components of vector B, which are (1, 1, 1).
Step 3: Multiply the first component of A by the first component of B: 1 * 1.
Step 4: Multiply the second component of A by the second component of B: 1 * 1.
Step 5: Multiply the third component of A by the third component of B: 1 * 1.
Step 6: Add the results from Steps 3, 4, and 5 together: 1 + 1 + 1.
Step 7: Calculate the final result: 1 + 1 + 1 = 3.
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