THREE-DIMENSIONAL GEOMETRY
Direction cosines/ratios of a line joining two points. | Direction cosines/ratios of a line joining two points. |
Straight lines in space | Cartesian and vector equation of a line passing through given point and parallel to given vector, Cartesian and vector equation of aline passing through two given points, coplanar and skew lines, distance between two skew lines(Cartesian and vector approach), distance between two parallel lines (vector approach). Angle between two lines. Problems related to above concepts. |
Plane | Cartesian and vector equation of a plane in normal form, equation of a plane passing through the given point and perpendicular to given vector, equation of a plane passing through three non- collinear points, Intercept form of equation of a plane, angle between two planes, equation of plane passing through the intersection of two given planes, angle between line and plane, condition for the coplanarity of two lines, distance of a point from a plane (vector approach) ,Problems related to above concepts. |