# How do you find the vector parametrization of the line of intersection of two planes #2x - y - z = 5# and #x - y + 3z = 2#?

##### 1 Answer

Mar 22, 2015

*One* answer could be:

Let's solve the system of the two equations, explaining two letters in function of the third:

So:

so:

SO:

and if we put