1) Vector U = has a terminal point at (2,-1) . Find the initial point. (6, 5) dit 2 - 2 1,20 26- 1= 4 X 1 = 5 2) If vector U = and vector V = , find 3U - 4V . Write your answer in the i, j, k notation. 30 = - 4V = 27- 175 - 8k , 3) Find the magnitude and direction of the vector V = and vector V = 96.41 9 10 1 = 19+4 /V1= 1+ 4 U- V= 3-4=-1 - 1 101= 4 ( 050 = 415 5) Show that x2 + y? + z? = 14y - 6z represents a sphere and find its center and radius. x + ( ye 7 ) + ( 2 + 3 ) = 1 6) Solve the following systems of equations ( 0, 7, - 3 ) -x - 5y - 5z = 2 -6x - 2y + 2z = -8 4x - 5y + 4z = 19 3x - 2y - 4z = 8 x + 5y - Z= -20 6x - 2y - 6z = -18 IVo Solution (- 21 3, 3 ) 7) The work, W, done by a force, F, in moving along a vector, D, is W = F. D V =