If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

If A = (2, 3, 4) and B = (0, 0, 0), what is A · B?

Step 1: Identify the components of vector A, which are 2, 3, and 4.
Step 2: Identify the components of vector B, which are 0, 0, and 0.
Step 3: Multiply the first component of A (which is 2) by the first component of B (which is 0). This gives 2 * 0 = 0.
Step 4: Multiply the second component of A (which is 3) by the second component of B (which is 0). This gives 3 * 0 = 0.
Step 5: Multiply the third component of A (which is 4) by the third component of B (which is 0). This gives 4 * 0 = 0.
Step 6: Add all the results from Steps 3, 4, and 5 together: 0 + 0 + 0 = 0.
Step 7: The final result of A · B is 0.

Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.