Analytical Geometry — Three Dimensions
Distance between two points; direction cosines and direction ratios; equation of a straight line in space; skew lines; shortest distance; equation of a plane; distance of a point from a plane; angle between two lines, two planes, line and plane; coplanar lines.
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The shortest distance between the lines r = (î + 2ĵ + 3k̂) + λ(2î - ĵ + k̂) and r = (2î - ĵ - k̂) + μ(3î + 2ĵ - 2k̂) is