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Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).
Practice Questions
Q1
Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).
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Questions & Step-by-Step Solutions
Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).
Steps
Concepts
Step 1: Identify the two vectors. The first vector is (7, 8, 9) and the second vector is (0, 1, 2).
Step 2: Multiply the first component of the first vector (7) by the first component of the second vector (0). This gives 7 * 0 = 0.
Step 3: Multiply the second component of the first vector (8) by the second component of the second vector (1). This gives 8 * 1 = 8.
Step 4: Multiply the third component of the first vector (9) by the third component of the second vector (2). This gives 9 * 2 = 18.
Step 5: Add all the results from Steps 2, 3, and 4 together: 0 + 8 + 18.
Step 6: Calculate the total: 0 + 8 + 18 = 26.
Scalar Product
– The scalar product (or dot product) of two vectors is calculated by multiplying corresponding components and summing the results.
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