Determine parametric equations for the plane through the points $$A(2, 1, 1), B(0, 1, 3), C(1, 3, −2)$$
2026-04-03 12:08:26.1775218106
Determining parametric equation given 3 points
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you have to solve the system $$2a+b+c+d=0$$ $$b+3c+d=0$$ $$a+3b-2c+d=0$$ or a parametric form $$[x,y,z]=[2,1,1]+s[-2,0,2]+t[-1,2,-3]$$ or $$x=2-2s-t$$ $$y=1+2t$$ $$z=1+2s-3t$$