Question

Find where the line x-1 /2 meets the plane 2x 4y-z 1

Answer 1

Let = f

Then,

x=2f+1 y=3f-2 z=4f+1

similarly

Let = l

then ,

x=l+3 y=2l+k z=l

If these line intersect then corresponding x y & z must be equal

Hence,

2f+1=l+3 ; 3f-2=2l+k ; 4f+1=l

Now solve three equation- three variable system and get k.