A line in space is fixed by a point and a direction. This course writes line equations and measures angles and shortest distances between lines.
The course follows the NCERT Class 12 Mathematics chapter Three Dimensional Geometry and has 2 lessons. Each lesson explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.
- Lines in Space and the Angle Between Them — Direction cosines and ratios, vector and Cartesian equations of a line, and the angle between two lines.
- Shortest Distance Between Lines, with Mixed Practice — Shortest distance between skew and parallel lines, and mixed practice.
By the end you will be able to:
- Find direction cosines and ratios of a line.
- Write vector and Cartesian equations of a line.
- Find the angle between two lines.
- Find the shortest distance between skew or parallel lines.