If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?
Practice Questions
Q1
If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?
-4
0
6
8
Questions & Step-by-Step Solutions
If A = (2, 0, -1) and B = (0, 3, 4), what is the scalar product A · B?
Step 1: Identify the components of vector A, which are (2, 0, -1).
Step 2: Identify the components of vector B, which are (0, 3, 4).
Step 3: Multiply the first component of A (2) by the first component of B (0). This gives 2 * 0 = 0.
Step 4: Multiply the second component of A (0) by the second component of B (3). This gives 0 * 3 = 0.
Step 5: Multiply the third component of A (-1) by the third component of B (4). This gives -1 * 4 = -4.
Step 6: Add the results from Steps 3, 4, and 5 together: 0 + 0 + (-4) = 0 - 4 = -4.
Scalar Product – The scalar product (or dot product) of two vectors is calculated by multiplying their corresponding components and summing the results.
