What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?

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Question: What is the scalar product of the vectors (5, 5, 5) and (1, 2, 3)?

Options:

Correct Answer: 30

Solution:

Scalar product = 5*1 + 5*2 + 5*3 = 5 + 10 + 15 = 30.

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)?

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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