Planes

Hey.

Is it incorrect to say "three points define a plane" and correct to say "three points which do not lie on the same line define a plane"?

I think this is the case yet I keep on reading in my textbook that three points define a plane. I know this may appear pedantic but this is an important distinction to make.

Thank-you.

Your definition is a little less vague than theirs; they have missed an important point by not saying that. It is true that they must not lie on the same line otherwise you would have an infinite number of planes with these three points lying on them rather than a uniquely defined one.

Your definition is a little less vague than theirs; they have missed an important point by not saying that. It is true that they must not lie on the same line otherwise you would have an infinite number of planes with these three points lying on them rather than a uniquely defined one.

Farhan you often sound too arrogant when giving advice. You should try to sound less arrogant, it will get you further. I don't wish to offend you by saying this.

Could I ask you to PM me what has given you the impression that I'm arrogant?

I'm not offended, just surprised that's all. I've made almost 5000 posts on TSR to date and no one has ever mentioned this before, nor has this been mentioned in day-to-day conversation.

Perhaps I'm being over-sensitive, but its just the impression I get of your character. I think you post useful stuff, but I think what you post/say would be better appreciated if you posted less cockily.

Again, no offence is intended.