Q:: The initial point of two vectors is A(4, 4, 2) and the terminal points are B(2, 6, 3) and C(0, 4, 5). Determine: 1. The vectors AB and AC, and the unit vector for AB and AC. 2. AB + AC, 2AB +3AC...

Extracted text: Q:: The initial point of two vectors is A(4, 4, 2) and the terminal points are B(2, 6, 3) and C(0, 4, 5). Determine: 1. The vectors AB and AC, and the unit vector for AB and AC. 2. AB + AC, 2AB +3AC 3. AB AC, and the angle between the two vectors. 4. Normal vector to AB and AC, and the area of a triangle between these two vectors. 5. If V = 3i +8j - 5k, find the triple scalar product [AB x AC V. 6. The parametric equations for the line that passes through the point A and parallel to the vector V = 31 + 8j - 5k.