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Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
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Practice Questions
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Q1
Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
12
18
6
9
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A · B = 2*3 + 2*3 + 2*3 = 6 + 6 + 6 = 18.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
Solution:
A · B = 2*3 + 2*3 + 2*3 = 6 + 6 + 6 = 18.
Steps: 7
Show Steps
Step 1: Identify the components of vector A, which are (2, 2, 2).
Step 2: Identify the components of vector B, which are (3, 3, 3).
Step 3: Multiply the first component of A (2) by the first component of B (3). This gives 2 * 3 = 6.
Step 4: Multiply the second component of A (2) by the second component of B (3). This gives 2 * 3 = 6.
Step 5: Multiply the third component of A (2) by the third component of B (3). This gives 2 * 3 = 6.
Step 6: Add all the results from Steps 3, 4, and 5 together: 6 + 6 + 6 = 18.
Step 7: The scalar product of vectors A and B is 18.
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