You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of 55.0.

You are given a vector in the xy plane that
has a magnitude of 90.0 units and a y component of 55.0 units. (a) What
are the two possibilities for its x component? (b) Assuming the x component is
known to be positive, specify 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.