zelenyk8940 zelenyk8940

15-09-2017
Mathematics

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Find the point p where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -4.

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LammettHash LammettHash

15-09-2017

[tex]\begin{cases}x=1+t\\y=2t\\z=-3t\end{cases}\implies x+y-z=(1+t)+2t-(-3t)=-4[/tex]
[tex]\implies6t+1=-4\implies t=\dfrac12[/tex]

[tex]\implies p=(x,y,z)=(1+t,2t,-3t)\implies p=\left(\dfrac32,1,-\dfrac32\right)[/tex]

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