- #1

zecuria

- 3

- 0

## Homework Statement

If the line

**l**is given by the equations 2x-y+z=0, x+z-1=0, and if M is the point (1,3,-2), fine a Cartesian equation of the plane,

(a) passing through M and

**l**

I don't get how I can find the directed vector of the plane

## Homework Equations

This is a past paper question so the answer is given as x-2y-z+3=0

However I don't know how to get there.

## The Attempt at a Solution

I have tried to get the solution assuming (2,-1,1) to be the directed vector and hence putting it into the equation,

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

However I get the wrong result so help regarding how to get the directed vector would help