Question

sunil stated that three pionts determine a unique plan explain sunils error and give a corrected statement

Answer 1

Sunil's statement that "three points determine a unique plane" is not entirely accurate. The correct statement should be:

"Three non-collinear points determine a unique plane."

The error in Sunil's statement is that three points do not always determine a unique plane if the points are collinear (i.e., all lie on the same straight line). In such a case, there are infinitely many planes that can contain those three points.

To clarify:

- If the three points are non-collinear, they form a triangle and will determine exactly one unique plane.
- If the three points are collinear, they do not define a unique plane but rather lie on a straight line, and thus infinitely many planes can be drawn through those points.

So, to summarize, the correct understanding is that three points can define a unique plane only if they are not collinear.