1. Determine the volume of the parallelepiped formed by the lengths of the vectors A = -2a x - 3a y + a z, B = 2a x - 5a y + 3a z , and C = 4a x + 2a y + 6a z .
2. Find a unit vector normal to both vectors A = 4a x - 3a y + a z and B = 2a x + a y - a z .