What is the scalar product of the vectors K = (0, 1, 0) and L = (1, 0, 1)?

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Question: What is the scalar product of the vectors K = (0, 1, 0) and L = (1, 0, 1)?

Options:

Correct Answer: 0

Solution:

K · L = 0*1 + 1*0 + 0*1 = 0 + 0 + 0 = 0.

What is the scalar product of the vectors K = (0, 1, 0) and L = (1, 0, 1)?

What is the scalar product of the vectors K = (0, 1, 0) and L = (1, 0, 1)?

Step 1: Identify the components of vector K, which are (0, 1, 0).
Step 2: Identify the components of vector L, which are (1, 0, 1).
Step 3: Multiply the corresponding components of the two vectors: 0 (from K) * 1 (from L).
Step 4: Multiply the second components: 1 (from K) * 0 (from L).
Step 5: Multiply the third components: 0 (from K) * 1 (from L).
Step 6: Add all the results from the multiplications together: 0 + 0 + 0.
Step 7: The final result is 0, which is the scalar product of vectors K and L.

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