Chapter 6.1, Problem 9PSB

To determine

To prove that a line AB and point C not on the line AB form a plane.

Answer to Problem 9PSB

Line AB and point C form a plane.

Explanation of Solution

Given information:

Line AB and point C.

Proof:

  

Collinear points are points which lie on same line.

Points A and B are points on line $\overleftrightarrow{AB}$ since two points determine line to others.

Point C is not collinear to others. Since three non collinear points represents a plane, points A, B and C are non collinear and represents the plane.