Structure ABCD is rigid and is built-in at point A. Point A is at the origin of the coor...

Structure ABCD is rigid and is built-in at point A. Point A is at the origin of the coordinate system, points B and D have the coordinates B(16, 24, 48) in. and D(26, 52, -2) in., and point C is at the midpoint of the straight bar AB. Portion CD of the structure is perpendicular to bar AB.

(a) Verify that portion CD of the structure is indeed perpendicular to bar AB.

(b) Determine the unit vector that is perpendicular to both AB and CD such that this vector has a positive x component.

(c) The force applied to point D of the structure has 600 lb magnitude and direction angles Determine the components of the 50 N force, namely P_AB, P_CD, and P_r , in the directions AB, CD, and respectively.