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If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?
If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?
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Q1
If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?
a + 2b + 3c = 14
a - 2b + 3c = 14
a + 2b - 3c = 14
a - 2b - 3c = 14
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A · B = a*1 + b*2 + c*3 = 14.
Questions & Step-by-step Solutions
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Q
Q: If A = (a, b, c) and B = (1, 2, 3), and A · B = 14, what is the equation?
Solution:
A · B = a*1 + b*2 + c*3 = 14.
Steps: 5
Show Steps
Step 1: Identify the vectors A and B. A = (a, b, c) and B = (1, 2, 3).
Step 2: Understand that A · B means the dot product of A and B.
Step 3: Write the formula for the dot product: A · B = a*1 + b*2 + c*3.
Step 4: Substitute the values from the vectors into the formula: A · B = a*1 + b*2 + c*3.
Step 5: Set the equation equal to 14, as given: a*1 + b*2 + c*3 = 14.
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