Points are collinear if they lie on the same line. Thus, one way to get three points that are non-collinear is by drawing two different lines. Then we can place two points on one line and the third point on the other line.
There is no way we can draw a line that will contain all of these points.
Therefore, they are noncollinear. Notice, that this is not the only way to approach this situation. We can also draw three different lines and place one point on each line.