# Find cartesian equations of the line of intersection of the planes

## Homework Statement

Find cartesian equations of the line of intersection of the planes x+3y-6z =2 and 2x+7y-3z=7

## The Attempt at a Solution

What I did first was I cross product the 2 equation and then I got 33i-9j+k
Then I took both of the equation and let y = 0. After that my answer seems to be weird.. Did I did anything wrong? The answer of the book was given ∴x+7/33 = y-3/-9 = z

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vela
Staff Emeritus
Homework Helper

## Homework Statement

Find cartesian equations of the line of intersection of the planes x+3y-6z =2 and 2x+7y-3z=7

## The Attempt at a Solution

What I did first was I cross product the 2 equation and then I got 33i-9j+k
Then I took both of the equation and let y = 0. After that my answer seems to be weird.. Did I did anything wrong? The answer of the book was given ∴x+7/33 = y-3/-9 = z
What do you mean by weird? In any case, your method, at least to me, seems to be a bit of overkill. Why not just solve the system of equations the usual way?

What do you mean by weird? In any case, your method, at least to me, seems to be a bit of overkill. Why not just solve the system of equations the usual way?
Never mind. I managed to solve it. Thank you for the reply :)