Differences
There are numerous differences that both love and hate have, and there also appears to be a lot of mixing of emotions. It is possible to love and hate a person or something at the same time. A good example of this is a person that is cheated on that both loves and hates the person that cheated.
One is perceived as negative and the other positive
This is the biggest difference between both love and hate. Love is seen as a positive and constructive emotion, whereas hate is seen as a negative and destructive emotion.
One is tied to negative actions and one tied to positive actions
There are things such as loving/hateful acts and things born or love or hate. Both appear to be similar in that they are attached to action, but love is tied to positive actions and events, whereas hate is attached to negative actions and events.