Show that the three points `A(-2, 3,5); B(1, 2, 3)` and `C(7, 0, -1)` are collinear.

Answer

`AB+BC=CA` Points are collinear

Explanation

Given the points


`A(x_1,y_1,z_1)=(-2,3,5)`

`B(x_2,y_2,z_2)=(1,2,3)`

`C(x_3,y_3,z_3)=(7,0,-1)`


`AB=sqrt((x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2)`


`=sqrt((-2-1)^2+(3-2)^2+(5-3)^2)`


`=sqrt((-3)^2+(1)^2+(2)^2)`


`=sqrt(9+1+4)`


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