Question: calculus problem Let L1 and L2 be the lines given by the parametric equations: L1: x=6t+1, y: 7t+3, z=t+2 L2: $=3S+10, y=s+6, z=4s+14 and the

calculus problem

Let L1 and L2 be the lines given by the parametric equations: L1: x=6t+1, y: 7t+3, z=t+2 L2: $=3S+10, y=s+6, z=4s+14 and the plane P be given by the equation: P: 2x2yz=3. (a) Determine if the lines L1 and L2 are parallel, intersecting, or skew (i. e. neither parallel nor intersecting). If they intersect, nd the intersection point. [8 marks] (b) Show that the line L2 is parallel to but does not lie on the plane P. [5 marks]

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