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...Three dimensional geometry chapter vthe moving power of mathematical invention is not reasoning but imagination a demorgan v introduction in class xi while studying analytical two dimensions and the to we confined cartesian methods only previous this book have studied some basic concepts vectors will now use vector algebra purpose approach that it makes study simple elegant shall direction cosines ratios line joining points also discuss about equations lines planes space under different conditions angle between leonhard euler plane shortest distance skew point from most above results are obtained form nevertheless translate these which at times presents more clear geometric analytic picture situation recall if directed l passing through origin angles b g with x y z axes respectively called then cosine namely cos reverse replaced by their supplements i e p thus signs reversed for various activities one may refer hand designing mathematics laboratory schools ncert fig note given can be e...