Find parametric equation for the line of intersection of the planes

[john458776]

The approach I used is.

Let [imath]z=0[/imath]

[imath]3x-2y=1[/imath] and [imath] 2x+y=3[/imath]

[imath]x=1[/imath] and [imath]y=1[/imath] and [imath]z=0[/imath]

Point of intersection [imath](1,1,0)[/imath]

The cross product of two normal vectors
[imath]<3,-2,1>×<2,1,-3>=<5,11,7>[/imath]

Parametric equation is
[imath]x=1+5t[/imath]
[imath]y=1+11t[/imath]
[imath]z=7t[/imath]

What do you think about the approach I use, please guide me if there is something wrong I did?

 

[pka]

It all looks good. Way to go.