You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -61.0 units.

Question

a)What are the two possibilities for its x component?
b) Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction.
c)Specify the direction of the vector.