Question: Let a and b be two constants. Two lines L1 and L2 are given as follows: L = at, y=1-t,z=t+1,tR L2x=s,y=bs, z=s, sR (1)

Let a and b be two constants. Two lines L1 and L2 are given as follows: L = at, y=1-t,z=t+1,tR L2x=s,y=bs, z=s, sR (1) Suppose L1 and L2 are parallel. Find the values of a and b. (2) For the values of a and b you found in (1), find an equation for the plane that contains both L1 and L2.

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