Calculate the scalar product of the vectors (3, 0, -3) and (1, 2, 1).

Calculate the scalar product of the vectors (3, 0, -3) and (1, 2, 1).

Step 1: Identify the two vectors. The first vector is (3, 0, -3) and the second vector is (1, 2, 1).
Step 2: Multiply the corresponding components of the two vectors. This means you will multiply the first component of the first vector by the first component of the second vector, the second component of the first vector by the second component of the second vector, and the third component of the first vector by the third component of the second vector.
Step 3: Perform the multiplications: 3 * 1 = 3, 0 * 2 = 0, and -3 * 1 = -3.
Step 4: Add the results of the multiplications together: 3 + 0 - 3.
Step 5: Calculate the final result: 3 + 0 = 3, and then 3 - 3 = 0.
Step 6: The scalar product of the vectors (3, 0, -3) and (1, 2, 1) is 0.

Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.