Determinants Are Used to Show That Three Points Lie on the Same

Multiple Choice

Determinants are used to show that three points lie on the same line (are collinear) . If
-Determinants are used to show that three points lie on the same line (are collinear) . If $$\left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| = 0 ,$$
then the points $\left( \mathrm { x } _ { 1 } , \mathrm { y } _ { 1 } \right) , \left( \mathrm { x } _ { 2 } , \mathrm { y } _ { 2 } \right)$ , and $\left( \mathrm { x } _ { 3 } , \mathrm { y } _ { 3 } \right)$ are collinear. If the determinant does not equal 0 , then the points are not collinear Are the points $( 10 - 9 ) , ( 0,5 )$ and $( 30 - 36 )$ collinear?

A) No
B) Yes