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If G = (1, 1, 1) and H = (1, -1, 1), what is G · H?
If G = (1, 1, 1) and H = (1, -1, 1), what is G · H?
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If G = (1, 1, 1) and H = (1, -1, 1), what is G · H?
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G · H = 1*1 + 1*(-1) + 1*1 = 1 - 1 + 1 = 1.
Questions & Step-by-step Solutions
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Q: If G = (1, 1, 1) and H = (1, -1, 1), what is G · H?
Solution:
G · H = 1*1 + 1*(-1) + 1*1 = 1 - 1 + 1 = 1.
Steps: 5
Show Steps
Step 1: Identify the components of vectors G and H. G has components (1, 1, 1) and H has components (1, -1, 1).
Step 2: Multiply the corresponding components of G and H. This means you will calculate 1*1, 1*(-1), and 1*1.
Step 3: Calculate each multiplication: 1*1 = 1, 1*(-1) = -1, and 1*1 = 1.
Step 4: Add the results of the multiplications together: 1 + (-1) + 1.
Step 5: Simplify the addition: 1 - 1 + 1 = 1.
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