1. Find the work done by a force F = 2i 3j + 4k that moves an object from the point (0, 3, 4) to the point (1, 6, 8) along a straight line. The distance is measured in meters and the force in newtons
2. Consider the points P(2, 0, 2), Q(2, 1, 3), and R(4, 2, 4). i) Sketch the triangle PQR. ii) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. iii) Find the area of the triangle PQR.
3. Find the volume of the parallelepiped determined by the vectors a = 1, -1, 1, b = 2, 1, -2, and c = -1, 2, -1.