Hi everyone, i have a midterm exam coming up and i'm looking at problems in the section of the book to help myself prepare. Can anyone answer this question for me? I have attempted to answer this problem but without the answer i don't know if i'm right.

It is problem # 114 in CALCULUS 8th edition by larson, hostetler and edwards, secction 11.5 page 809. It will be in section 10.5 in the 7th edition.

Show that the plane 2x-y-3z=4 is parallel to the line

x= -2+2t

y= -1+4t

z= 4

and find the distance between them.

I tried using the techniques given in the book but it's not for a plane and line.

Can someone do this one out for me? It's not a homework, i just need to see it done out step by step so i can follow it, along with the answer.

Thank you guys! Really desperate...