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What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?
What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?
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Q1
What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?
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Scalar product = 5*1 + 5*2 + 5*3 = 5 + 10 + 15 = 30.
Questions & Step-by-step Solutions
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Q
Q: What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?
Solution:
Scalar product = 5*1 + 5*2 + 5*3 = 5 + 10 + 15 = 30.
Steps: 6
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Step 1: Identify the two vectors. The first vector is (5, 5, 5) and the second vector is (1, 2, 3).
Step 2: Multiply the first component of the first vector (5) by the first component of the second vector (1). This gives 5 * 1 = 5.
Step 3: Multiply the second component of the first vector (5) by the second component of the second vector (2). This gives 5 * 2 = 10.
Step 4: Multiply the third component of the first vector (5) by the third component of the second vector (3). This gives 5 * 3 = 15.
Step 5: Add all the results from Steps 2, 3, and 4 together: 5 + 10 + 15.
Step 6: Calculate the total: 5 + 10 + 15 = 30.
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