3. (14 points) Given the lines: 21:2(t) = -3t 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 – 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a pair of parallel planes with each plane containing one of the lines (hint: in this case, find a vector perpendicular to both lines).
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