What is the scalar product of the vectors A = (0, 1, 0) and B = (1, 0, 1)?
Practice Questions
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What is the scalar product of the vectors A = (0, 1, 0) and B = (1, 0, 1)?
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Questions & Step-by-Step Solutions
What is the scalar product of the vectors A = (0, 1, 0) and B = (1, 0, 1)?
Step 1: Identify the components of vector A, which are (0, 1, 0). This means A has 0 in the x-direction, 1 in the y-direction, and 0 in the z-direction.
Step 2: Identify the components of vector B, which are (1, 0, 1). This means B has 1 in the x-direction, 0 in the y-direction, and 1 in the z-direction.
Step 3: To find the scalar product (also called the dot product), multiply the corresponding components of A and B together.
Step 4: Calculate the products: 0 (from A) * 1 (from B) = 0, 1 (from A) * 0 (from B) = 0, and 0 (from A) * 1 (from B) = 0.
Step 5: Add all the products together: 0 + 0 + 0 = 0.
Step 6: The scalar product of vectors A and B is 0.
