What exactly happens to light components on reflection?

1. Is that only that the direction of propagation changes on reflection and nothing else happens?

2. With reference to Brewster's law, "the reflected light has only the perpendicular component of the light with respect to the plane of incidence" because "light is a transverse wave and it won't have the parallel component". HOW all of a sudden, like a bolt from the blue, "TO RESPECT TRANSVERSE NATURE OF LIGHT" is "A COMPONENT MADE ALL ABSENT"?
WHERE DOES IT GO THEN?