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If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?
If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?
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Q1
If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?
30
25
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15
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E · F = 5*1 + 5*2 + 5*3 = 5 + 10 + 15 = 30.
Questions & Step-by-step Solutions
1 item
Q
Q: If E = (5, 5, 5) and F = (1, 2, 3), what is the scalar product E · F?
Solution:
E · F = 5*1 + 5*2 + 5*3 = 5 + 10 + 15 = 30.
Steps: 7
Show Steps
Step 1: Identify the components of vector E, which are (5, 5, 5).
Step 2: Identify the components of vector F, which are (1, 2, 3).
Step 3: Multiply the first component of E (5) by the first component of F (1). This gives 5 * 1 = 5.
Step 4: Multiply the second component of E (5) by the second component of F (2). This gives 5 * 2 = 10.
Step 5: Multiply the third component of E (5) by the third component of F (3). This gives 5 * 3 = 15.
Step 6: Add the results from Steps 3, 4, and 5 together: 5 + 10 + 15.
Step 7: Calculate the total: 5 + 10 + 15 = 30.
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