Nearly, but note the direction of the vectors. You want a vector from a tail of one to the head of another.would the resultant not be from the top of the vector to the start ppoint? so like a straight line down?
Superimpose an xy coordinate frame with the leftmost vector in the third quadrant and the right most vector in the fourth quadrant and they both point to the origin. It should be clear now why they are perpendicular. So you can use Pythagoras to find the length and the direction is easy as well.well 45 and 45 is 90.. so does that make them perpendicular?
and dont worry mate, you have been a great help :)