Some of the
main topics for Mathematics chapter 3D Geometry (Class 12) along with their details are:
1. Cartesian System of Three
Dimensions: This topic deals with the coordinates of the points in space,
shifting of origin, direction cosines and ratios, distance between two points
in space, section formula and the centroid of a triangle.
2. Direction Cosines and Direction
Ratios: This subject is about the representation of lines and direction of
lines in the space, angle between two lines, condition of perpendicularity and
parallelism, vector and scalar triple product.
3. Straight Lines: This topic covers
the various forms of equations of a straight line, intersection of two lines,
co-planarity of two lines, the angle between two lines, distance of a point
from a line and skew lines.
4. The plane: This subject is about
the equation of different forms of a plane, angle between two planes, distance
between a point and a plane, a perpendicular distance from a point to a plane,
condition of coplanarity of two lines and the intersection of a line and a
plane.
5. Intersection of a Line and a
Plane: This topic is about the intersection of a line and a plane and the
distance of the point of intersection from the origin.
6. Intersection of Two Planes: This
subject covers the intersection of two planes and three points form plane
equation.
7. Angle between Two Lines and Angle
between Two Planes: This topic is about the derivation of formulae to find the
angle between two lines and two planes.
This chapter is important for
students as it helps them understand the basic concepts and principles of 3D
Geometry. It also lays the foundation for advanced topics such as vectors and
calculus.
More Chapters:-
Main topics for Linear Programming
click here for
other chapters.
.jpg)
