Question -
Answer -
Given (a, b), (a’, b’)and (a – a’, b – b) are collinear
We have the conditionthat three points to be collinear, the area of the triangle formed by thesepoints will be zero. Now, we know that, vertices of a triangle are (x1,y1), (x2, y2) and (x3, y3),then the area of the triangle is given by,
⇒ a b’ = a’ b
Hence, the proof.