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If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.
If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.
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Q1
If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.
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A · B = x + y + z = 6. Thus, x + y + z = 6.
Questions & Step-by-step Solutions
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Q: If A = (x, y, z) and B = (1, 1, 1) such that A · B = 6, find x + y + z.
Solution:
A · B = x + y + z = 6. Thus, x + y + z = 6.
Steps: 6
Show Steps
Step 1: Understand that A = (x, y, z) and B = (1, 1, 1).
Step 2: Know that the dot product A · B is calculated as x * 1 + y * 1 + z * 1.
Step 3: Simplify the dot product: A · B = x + y + z.
Step 4: We are given that A · B = 6.
Step 5: Set up the equation: x + y + z = 6.
Step 6: The question asks for the value of x + y + z, which we found to be 6.
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