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If I = (1, 2, 3) and J = (3, 2, 1), what is I · J?
If I = (1, 2, 3) and J = (3, 2, 1), what is I · J?
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Q1
If I = (1, 2, 3) and J = (3, 2, 1), what is I · J?
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I · J = 1*3 + 2*2 + 3*1 = 3 + 4 + 3 = 10.
Questions & Step-by-step Solutions
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Q
Q: If I = (1, 2, 3) and J = (3, 2, 1), what is I · J?
Solution:
I · J = 1*3 + 2*2 + 3*1 = 3 + 4 + 3 = 10.
Steps: 8
Show Steps
Step 1: Identify the components of vectors I and J. I = (1, 2, 3) and J = (3, 2, 1).
Step 2: Multiply the corresponding components of I and J. First, multiply the first components: 1 * 3.
Step 3: Next, multiply the second components: 2 * 2.
Step 4: Then, multiply the third components: 3 * 1.
Step 5: Add the results of the multiplications together: (1 * 3) + (2 * 2) + (3 * 1).
Step 6: Calculate the individual products: 1 * 3 = 3, 2 * 2 = 4, and 3 * 1 = 3.
Step 7: Add these products together: 3 + 4 + 3.
Step 8: The final result is 10.
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