Describe how you could use vectors to determine if 3 given points are collinear. Test your method using each set of points.

$\displaystyle i) P(-3, 1), Q(2, 4), R(5,6)$

$\displaystyle ii) D(5,1), E(1, -5), F(-3,-11)$

I know how to find 2 points if they are collinear or not, but I don't know how to find 3 points that are collinear or not. . .so how would you determine them?

I know. . .

$\displaystyle \frac {x_1}{x_2} = \frac {y_1}{y_2} $