Two people have placed furniture movers beneath the legs of their sofa (thin discs that allow a person to slide a heavy object more easily across the floor). As they begin to move the couch to reposition it, the first person exerts a force of 40 N in the direction of the north wall and 192 N in the direction of the east wall. The second person exerts a force of 105 N in the direction of the north wall and 76 N in the direction of the east wall. Let →u represent the force vector exerted by the first person. Write →u in component form, where the first component is the force (in N) exerted toward the east wall and the second component is the force (in N) exerted toward the north wall.
→u=

Let →v represent the force vector exerted by the second person. Write →v in component form, where the first component is the force (in N) exerted toward the east wall and the second component is the force (in N) exerted toward the north wall.
→v=

Find the resultant vector (in component form) created by adding →u and →v.
→u+→v= 

Suppose a third person begins pushing on the couch in the direction of the west wall of the room. How hard must she push so that the couch only moves towards the north wall?
 _N   

Hint: for parts (a) - (c), your answer should be in the form "< #, # >" with two numbers inside the vector brackets.

​