(a) Show that the lines
r 1 (t) = (2,1,−4) + t(−1,1,−1) and r 2 (s) = (1,0,0) +
s(0,1,−2)
are skew.
(b) The two lines in (a) lie in parallel planes. Find equations for
these two planes. Express your
answer in the form ax+by+cz +d = 0. [Hint: The two planes will
share a normal vector n. How would one find n?]
would one find n?]