ok to normalize a vector

divide its x,y by its length

the vector in our example is -5,5 (vector towards target from player)

length = sqr( (-5 * 5) + (5 * 5))

length = sqr ( 25 + 25)

length = sqr (50)

length = 7.07

didn't you make a mistake in your magnitude calculation? since the brackets must be added before you find the square root?

normalized = -5/7.07 = -0.7

5/7.07 = 0.7

This is the cosine of the angle between you, and cos(90degrees) = 0, so they are perpendicular to your facing.

now that part I do not get. Could you word that better?