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Find the volume of the parallelepiped defined by the vectors u = (3, -1, 4), 7 = (2, 1, -2) and w = (5, 0, -1). A. 14 B. 15 O C. 16 D. 17Identify the surface for r + = 81. O A. Cylinder B. Sphere C. Hyperboloid O D. ParaboloidConvert the point ( V3, , 1 ) from cylindrical to spherical coordinates 7T 7T 7T TT 2 , ( 2 , 7 ' 4 O B. O A. 7T ( 2 , 7 ' ( 2 , 7 ' 2 O D. O C.Convert the point (V3, 1, 0) from Cartesian to spherical coordinates. TT TT (2, (2, O A. O B. (2, (2 , O C. O D.Identify the surface for psin y = 9. O A. Cylinder O B. Sphere O C. Hyperboloid O D. ParaboloidWrite down the equation of the line that passes through the points (3, - 2, 4) and (2, 3, -1). Using vector form of the equation of a line. (3 + t, - 2 - 5t, 4+ 5t) (1 + 3t, -5 - 2t, 5 + 4t) O A. O B. (-2+t, 4 - 5t, 3 + 5t) (-5 + 3t, 5 - 2t, 1 + 4t) O c. O D.Determine the equation of the plane that contains the points P(1, -1, 0), Q(1, 1, -1) and R(-1, 0, 1). 2x + 4y + 3z = 1 2x + 4y + 32 = -1 OA OB. 3x + 2y + 4z = 1 3x + 2y + 4z = -1 O C. O D. O E. None of the aboveFind the domain of the vector function F (t ) = V1 -t, t (-00, -1) U (-1, 1] (-00, -1) U (-1, 1) OA O B. [1, +0o) (1, +0o) O C. O D. E. None of the above1 t-+ -2 Compute lim T(t) where r(t) = + 1' V1 -t, t (1, - V3, 2 (-1, V3, -2) OA O B. (2, -2V/3, 4) (-2, 2V3, -4) O C. OD. O E. None of the aboveComputer'(t) where r (t) = 1 +I' V1 -t, t -1 1 1 (t + 1) 2v1-t 1 (t+ 1)- 2V/1-t 1 OA O B. -1 -1 1 1 (t + 1) 2V/1-t 1 (t + 1)2 2V/1 -t O C. O D. O E. None of the above