i am given an equation of a line: [x,y,z]=[-3,-6,-11]+k[22,1,-11](adsbygoogle = window.adsbygoogle || []).push({});

and i am being asked if it belongs to the plane defined by these three points A(2,5,6) B(-7,1,4) and C(6,-2,-9)

so first i calculated all three vectors between the points so i have AB=[-9,-4,2] AC=[4,-7,-15] BC=[13,-3,-13] and clearly none are collinear with [22,-1,11] so clearly the line is not part of the plane yet the book claims that it is part of the plane. Am i doing something wrong?

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# Homework Help: Does this line belong to this plane?

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