If C = (0, 1, 2) and D = (3, 4, 5), what is C · D?

If C = (0, 1, 2) and D = (3, 4, 5), what is C · D?

Step 1: Identify the elements in set C, which are 0, 1, and 2.
Step 2: Identify the elements in set D, which are 3, 4, and 5.
Step 3: Multiply the first element of C (0) by the first element of D (3). This gives 0 * 3 = 0.
Step 4: Multiply the second element of C (1) by the second element of D (4). This gives 1 * 4 = 4.
Step 5: Multiply the third element of C (2) by the third element of D (5). This gives 2 * 5 = 10.
Step 6: Add all the results from Steps 3, 4, and 5 together: 0 + 4 + 10.
Step 7: Calculate the total: 0 + 4 + 10 = 14.

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