- #1

morsel

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## Homework Statement

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

## Homework Equations

Equation of a plane:

a(x-x

_{0}) + b(y-y

_{0}) + c(z-z

_{0}) = 0

## 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.