I'm preparing Euclidean geometry for the exam and in my notes I come across the exercise :" A line in $\mathbb{R}^n$ is uniquely determined by two points."
Is this like a claim that needs to be proven or more like a question of whether it is true? I wouldn't say it's a claim because I don't think it's true. A line in $\mathbb{R}^n$ can be defined with one point and a vector, or it can also be defined as the intersection of two planes, right? I'm really new to all this and I don't really understand. Could someone please clarify this for me. How is a line uniquely determined in $\mathbb{R}^n$?