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a) Let L be the line through (2,-1,1) and (3,2,2). Parameterize L. Find the point Q...

a) Let L be the line through (2,-1,1) and (3,2,2). Parameterize L. Find the point Q where L intersects the xy-plane.

b) Find the angle that the line through (0,-1,1) and (√3,1,4) makes with a normal vector to the xy-plane.

c) Find the distance from the point (3,1,-2) to the plane x-2y+z=4.

d) Find a Cartesian equation for the plane containing (1,1,2), (2,1,1) and (1,2,1)

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