Please solve and explain 4,12 and 22 in details

4.) Consider the situation indicated in the diagram involving a can c travelling at 110 km/h, a bus B travelling at a IV 14 IV 95 km/h and a limousine L travelling at 125 km/h. Car WEST Limousine EAST Bus a) Find the velocity of the limousine relative to the bus. | b) Find the velocity of the bus relative to the car. 12 Given vectors u and v as shown, find: |2 = 12, 151 =17 u . v b ) uxv 40 c) Proj (u onto v) (in terms of v ) d) Proj (v onto u) (in terms of i ) V e) (u + 3v). (2u - V) f) (3u + v)x (21 - v) g) the area of the parallelogram created by u and v CI. Find a unit vector I to both a = (1,1,2) and b= (2,1,- 2). E H 22. If OA, OB, and OC are three edges of a parallelepiped where O is (0,0,0), A is (2,4,-3), B is (4,6,2), and C parallelepiped. is (5,0,-2), find the coordinates of the other vertices of the parallelepiped and find the volume of the a ) 23. Determine the magnitude of the moment of the force about the fixed point A for each of the fallai