What is the scalar product of the vectors A = (4, 0, -3) and B = (0, 5, 2)?

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Question: What is the scalar product of the vectors A = (4, 0, -3) and B = (0, 5, 2)?

Options:

Correct Answer: 0

Solution:

A · B = 4*0 + 0*5 + (-3)*2 = 0 - 6 = -6.

What is the scalar product of the vectors A = (4, 0, -3) and B = (0, 5, 2)?

What is the scalar product of the vectors A = (4, 0, -3) and B = (0, 5, 2)?

Step 1: Identify the components of vector A, which are (4, 0, -3).
Step 2: Identify the components of vector B, which are (0, 5, 2).
Step 3: Multiply the corresponding components of vectors A and B: 4 * 0, 0 * 5, and -3 * 2.
Step 4: Calculate each multiplication: 4 * 0 = 0, 0 * 5 = 0, and -3 * 2 = -6.
Step 5: Add the results of the multiplications together: 0 + 0 + (-6).
Step 6: Simplify the addition: 0 - 6 = -6.
Step 7: The scalar product of vectors A and B is -6.

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