Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
Practice Questions
Q1
Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
12
18
6
9
Questions & Step-by-Step Solutions
Determine the scalar product of the vectors A = (2, 2, 2) and B = (3, 3, 3).
Correct Answer: 18
Step 1: Identify the components of vector A, which are (2, 2, 2).
Step 2: Identify the components of vector B, which are (3, 3, 3).
Step 3: Multiply the first component of A (2) by the first component of B (3). This gives 2 * 3 = 6.
Step 4: Multiply the second component of A (2) by the second component of B (3). This gives 2 * 3 = 6.
Step 5: Multiply the third component of A (2) by the third component of B (3). This gives 2 * 3 = 6.
Step 6: Add all the results from Steps 3, 4, and 5 together: 6 + 6 + 6 = 18.
Step 7: The scalar product of vectors A and B is 18.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.
Vector Components – Understanding how to break down vectors into their individual components is crucial for calculating the scalar product.
