What is the scalar product of A = (3, 4, 0) and B = (0, 0, 5)?

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Question: What is the scalar product of A = (3, 4, 0) and B = (0, 0, 5)?

Options:

Correct Answer: 0

Solution:

A · B = 3*0 + 4*0 + 0*5 = 0.

What is the scalar product of A = (3, 4, 0) and B = (0, 0, 5)?

What is the scalar product of A = (3, 4, 0) and B = (0, 0, 5)?

Step 1: Identify the components of vector A, which are (3, 4, 0).
Step 2: Identify the components of vector B, which are (0, 0, 5).
Step 3: Multiply the corresponding components of A and B: 3 * 0, 4 * 0, and 0 * 5.
Step 4: Calculate each multiplication: 3 * 0 = 0, 4 * 0 = 0, and 0 * 5 = 0.
Step 5: Add the results of the multiplications together: 0 + 0 + 0.
Step 6: The final result is 0, which is the scalar product of A and B.

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