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Determine whether the lines r1(t) = <0, 1, 1> + t<1, 1, 2> and r2(t) = <2, 0, 3> + t<1, 4, 4> intersect. If so, find the point of intersection.

Determine whether the lines r1(t) = + t and r2(t) = + t intersect. If so, find the point of intersection.

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Determine whether the lines r1(t) = <0, 1, 1> + t<1, 1, 2> and r2(t) = <2, 0, 3> + t<1, 4, 4> intersect. If so, find the point of intersection.

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Find the equation of the plane with the given description. 1. Passing through P = (2, -1, 4), Q = (1, 1, 1), R = (3, 1, -2). 2. Passes through P = (4, 1, 9) and is parallel to x + y + z = 3. 3. Contains the lines r1(t) = and r2(t) = .

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