Question: In Exercises, use the vectors a, b, and c to find (a) the scalar triple product a · (b × c), and (b) the volume of the parallelepiped determined by these three vectors directed away from a corner.
1. a = 2i - j - 3k, b = 3i - 2k, c = i + j -4k.
2. a = i - j + 2k, b = i + j + 3k, c = 2i - j +3k.
3. a = -i - j + k, b = 2i + 2j + 3k, c = -4i + j + 3k.
4. a = 5i + 3k , c = -2i + 3j - 2k.