If M = (2, 2, 2) and N = (3, 3, 3), what is M · N?

If M = (2, 2, 2) and N = (3, 3, 3), what is M · N?

Step 1: Identify the components of vectors M and N. M has components (2, 2, 2) and N has components (3, 3, 3).
Step 2: Multiply the corresponding components of M and N. This means you will multiply the first component of M by the first component of N, the second component of M by the second component of N, and the third component of M by the third component of N.
Step 3: Perform the multiplications: 2 * 3 = 6, 2 * 3 = 6, and 2 * 3 = 6.
Step 4: Add the results of the multiplications together: 6 + 6 + 6.
Step 5: Calculate the total: 6 + 6 + 6 = 18.

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