VECTORS TEST: Distance Between Parallel Planes

How can you test for the skew lines?
Find point of intersection, if they intersect (not skew)

[hmz_]

how would you go about the question if pi2 = -x-y+z+6=0, and if you still substituted x=0, y=0, therefore getting z=2 in pi1.

[muhammadfaizan]

Sir why you put x and y=0 to find value of z ?
please tell me Sir

[MultiSubjector]

Excellent vid. But is there a way to find this distance without using that formula? For instance, by use of cross products