R D Sharma Ch. 31. Three Dimensional Geometry

31. Three Dimensional Geometry

1. Coordinates of a point in space
2. Signs of coordinates of a point
3. Distance formula
4. Section formulas
5. Direction cosines and direction ratios
6. Angle between two vectors in terms of their direction cosines and direction ratios
7. Straight line in space
8.Angle between two lines
9. Intersection of two lines
10. Perpendicular distance of a point from a line
11. Reflection or image of a point in a straight line
12. Shortest distance between two straight lines
13. Plane
14. Equations of a plane passing through a given point
15. Intercept form of a plane
16. vector equation of a plane passing through a given point and normal to a given vector
17. Equation of a plane in normal form
18. Angle between two planes
19. Equation of a plane passing through a given point and parallel to two given vectors
20. Equation of a plane parallel to a given plane
21. Equation of a plane passing through the intersection of two planes
22. Distance of a point from a plane
23. Equation of planes bisecting the angles between two given planes
24. Line and a plane
25. Angle between a line and a plane
26. Intersection of a line and a plane
27. Condition of coplanarity of two lines and equation of the plane containing them
28. Image of a point in a plane