A triangle has vertices A, B and C with coordinates (1, 3, 2), (-1, 5, 9) , and (2, 7, 1)respectively. Calculate the vectors that represent the sides of the triangle. The work done by a force F in...

A triangle has vertices A, B and C with coordinates (1, 3, 2), (-1, 5, 9) , and (2, 7, 1)respectively. Calculate the vectors that represent the sides of the triangle.

The work done by a force F in moving a body through a displacement r is given by F . r. A force F = 3i + 7k causes a body to move from the point with coordinates (1, 1, 2) to the point (7, 3, 5).  (a) Find the displacement, r, of the body.  (b) Find the work done by the force.