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Equation for a line and plane

1. Find an equation for the line passing through the points P(1,-1,1) and Q(3,1,-2).
2. Find an equation for the plane containing points P(1,0,0), Q(0,-1,0), and R(0,0,-1).

Need steps and solutions. Thanks a bunch!

Solution Preview

1. A line is uniquely defined by a point on the line (say u) and a vector along the line (say v), a general point on the line is then:

z = u + t*v where t is any ...

Solution Summary

This shows how to find the equation for a line passing through two points or a plane passing through three points in three-dimensional space.