Three Dimensional Geometry

This topic defines the direction cosines and direction ratios of a line. It also explains the formulas applied to them through examples and exercises.

In this topic, we will discuss theorems related to equations of a line in space. The algorithm related to equations of a line is discussed here in detail along with illustrative examples and exercises.

In this topic, we will learn to find the angle between two lines, either in vector form or Cartesian form. Conditions for perpendicularity and parallelism for both vectors and the Cartesian system are also elucidated here.

In this topic, we will learn to find the shortest distance between two straight lines. The shortest distance between skew lines in vector and Cartesian form and the line of shortest distance is explained here through figures.

This topic discusses the coplanarity of two lines with the help of examples. It explains the criteria of coplanarity of lines, along with the required conditions for it.