Consider the lines L1 and L2, with equations L1: (x-3)/2 = -2(y+4) = (z+1)/5 and L2: (x-6)/2 = -2(y-1) = (z-3)/5. (a) Show that the lines are parallel. (b) Find the equation of the plane containing the

Consider the lines L1 and L2, with equations L1: (x-3)/2 = -2(y+4) = (z+1)/5 and L2: (x-6)/2 = -2(y-1) = (z-3)/5.

(a) Show that the lines are parallel.
(b) Find the equation of the plane containing the two lines.
(c) Find the distance between the two lines.

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Consider the lines L1 and L2, with equations L1: (x-3)/2 = -2(y+4) = (z+1)/5 and L2: (x-6)/2 = -2(y-1) = (z-3)/5. (a) Show that the lines are parallel. (b) Find the equation of …

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