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If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
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Practice Questions
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Q1
If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
1
2
3
6
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E · F = 1*1 + 1*2 + 1*3 = 1 + 2 + 3 = 6.
Questions & Step-by-step Solutions
1 item
Q
Q: If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
Solution:
E · F = 1*1 + 1*2 + 1*3 = 1 + 2 + 3 = 6.
Steps: 7
Show Steps
Step 1: Identify the components of vector E, which are (1, 1, 1).
Step 2: Identify the components of vector F, which are (1, 2, 3).
Step 3: Multiply the corresponding components of E and F: 1 * 1.
Step 4: Multiply the second components: 1 * 2.
Step 5: Multiply the third components: 1 * 3.
Step 6: Add the results of the multiplications from Steps 3, 4, and 5: 1 + 2 + 3.
Step 7: Calculate the final sum: 1 + 2 + 3 = 6.
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