(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find an equation of the plane that passes through the point (-1,2,1) and contains the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1

2. Relevant equations

Equation of a plane:

a(x-x_{0}) + b(y-y_{0}) + c(z-z_{0}) = 0

3. The attempt at a solution

n_{1}= <1,1,-1>

n_{2}= <2,-1,3>

n_{1}[tex]\times[/tex]n_{2}= <2,-5,-3> = <a,b,c>

Equation:

2(x+1) - 5(y-2) - 3(z-1) = 0

2x - 5y - 3z = -15

What am I doing wrong? Any help is appreciated.

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# Homework Help: Equation of plane containing the intersection of two planes

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