Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).

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Question: Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).

Options:

Correct Answer: 26

Solution:

Scalar product = 7*0 + 8*1 + 9*2 = 0 + 8 + 18 = 26.

Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).

Find the scalar product of the vectors (7, 8, 9) and (0, 1, 2).

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.