Let L be the line parametrically by~r(t) = [1 + 2t,4 +t,2 + 3t]
and M be the line through the points P= (−5,2,−3) and
Q=(1,2,−6).
a) The lines L and M intersect; find the point of
intersection.
b) How many planes contain both lines?
c) Give a parametric equation for a plane Π that contains both
lines