1. Three – Dimensional Co – ordinate System :
2. Origin :
3. Position Vector of a Point :
4. Sign of co – ordinate Point :
5. Two dimensional Geometry :
6. Three dimensional Geometry :
7. Co – ordinate of a Point P on axis :
8. Co – ordinates of a point in xy , yz and zx – Planes :
9. Equation of xy , yz and zx – planes :
10. Projection of the line segment joining two points on a line :
11. Projection of a point on a line :
12. Distance Formula :
(a). Distance b/w origin O(0, 0, 0) and any point P(x , y , z) :
(b). Distance of a point P from co – ordinate axis :
(c). Distance between the points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 ) is
13. Section Formula :
For internal dividing of given two points :-
For externally dividing of given two points :-
For midpoint of given two points :-
14. Centroid of a Triangle :
15. Incentre of Triangle :
16. Division by co – ordinate plane :
17. Direction Ratios :
18. Direction Cosines :
19. Angle Between two lines :
Cartesian Form :-
Vector Form :-
20. If two lines are perpendicular to each other then θ = 900 :
21. If two lines are parallel to each other then θ = 00 :
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