Question

Show that the following points are collinear using determinants: 

P(5,1), Q(1, -1), R(11, 4)

Answer 1

Here, P(x₁ , y₁ ) = P(5, 1) 

Q(x₂ , y₂ ) = Q(1, -1) 

R(x₃ , y₃ ) = R(11, 4) 

If A(ΔPQR) = 0, then the points P, Q, R are collinear.