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Find the work done by a force F = 2i 3j + 4k that moves an object from the point (0, 3, 4) to the
- 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
- 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.
- Find the volume of the parallelepiped determined by the vectors a = 1, -1, 1, b = 2, 1, -2, and c = -1, 2, -1.
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