TITLE: Solution to Problem4
# !b1 Problem4:
Show that the line 
!c0	(x-1)/3 = -y/2 = z+1
and the plane x + 2y + z = 1 are parallel.

!b3 SOLUTION:
The position vector u, velocity vector v for the line are:
> u := [1,0,-1]: v := [3,-2,1]:
# A normal to the plane is:
> n := [1,2,1]:
# We have,
> dotprod(v,n);
                                       0

# so the line is either parallel to the plane or the line is 
contained in the plane. But u doesn't belong to the plane
so we are done.

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