Given the lines: lix(t)=-1-31, y(t) = 4+21, z(t) = 4+1 l2x(u) 5-3u, y(u)=1+u, z(u) = 2+u...

 

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Given the lines: lix(t)=-1-31, y(t) = 4+21, z(t) = 4+1 l2x(u) 5-3u, y(u)=1+u, z(u) = 2+u I a. [8 points] Determine whether 1 and 2 are parallel, skew or intersect. If the lines intersect, find the point of intersection of 1 and 2. b. [5 points] 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. Given the lines: lix(t)=-1-31, y(t) = 4+21, z(t) = 4+1 l2x(u) 5-3u, y(u)=1+u, z(u) = 2+u I a. [8 points] Determine whether 1 and 2 are parallel, skew or intersect. If the lines intersect, find the point of intersection of 1 and 2. b. [5 points] 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.