Is it normal that i wish to kill my brother?

My brother is 26 years old. For 11 years he's been in and out of jail due to drugs, fighting, disturbing the peace, and several more. He has even stolen from us, me included. My mom and dad have tried nonstop to help him, trying to help him get his life straight and get him off of the drugs, alcohol, etc.
We recently kicked him out of the house because of his drug use. Now he shows up unannounced and disrespects my mom and threatens to fight my dad (My dad recently had a 4 way bypass last year and I fear for his health if they ever do get into it) It pisses me off to the point where I just want to take a knife and stab my brother until he is unrecognisable. I hate him. He has made my 15 years on earth living hell. He has made our families name a disgrace and I want him to disappear out of my life. I know killing is bad and you should never hate anybody but he is so stupid and disrespectful that I could kill him and not feel bad about it the next day. Today he showed up with this random girl and my mother being the kind woman she is let him and the girl sleep on the couch for a few hours. When my mom was finally ready to go to work (nursing, a rather important job that you probably shouldn't be late to) he wants to throw a hissy fit and complain that he has nowhere to go. Keep in mind that this is a 26-year-old grown man throwing a fit because his life is hard. He makes a mess and throws cheese-its on the ground and hold the carton up acting like he is going to spill them again. At this point, I want to lunge at him and beat him until his skull is bashed in. He continues to disrespect my mom and I couldn't hold it in. I yell at him calling him an idiot. He responds by throwing cheese-its at me. I start crying because the situation is getting worse and worse and I just want him to leave and never come back. My dad comes into the room asking what is wrong and my mom tells him, my dad asks my brother what the hell his problem is and my mom pushes my brother out of the door screaming at him. I feel like I was having some sort of attack from the way I was crying and shaking with anger and fear. It ends there, my mom just left to drop him and his friend off somewhere and go to work literally 20 minutes ago and I just want to know was it normal to have that urge to kill him due to the circumstances? I wanted an excuse to slit his throat. I wanted to dare him to lay a finger on my mother or father just so I could beat his ass. I hate him. Thinking about it makes me want to cry. Is it normal?