# THREE DIMENSIONAL GEOMETRY

**NCERT SOLUTIONS FOR CLASS 12 MATHS THREE DIMENSIONAL GEOMETRY:**

**Let us know about Leonhard Euller,**

**Leonard Euller** was a Swiss Mathematician.Apart from being a mathematician he was a Physician,logician,astronomer & geographer.He was also an engineer too.He played a very important role in the field of mathematics such as infinitesimal calculus and graph theory.His contribution were not limited in them only he provided his service in the field of topology and analytical number theory.There are many mathematical terminologies and notations by him. We got some brief knowledge about **Mr.Leonhard Euller**. Lets turn towards our main topic **NCERT SOLUTIONS FOR CALSS 12 CHAPTER 11 THREE DIMENSIONAL GEOMETRY.**

**NCERT SOLUTIONS FOR CLASS 12 CHAPTER 11 THREE DIMENSIONAL GEOMETRY **is all about dealing with direction ratio,direction cosines,Cartesian and vector equation, co planar and skew lines, shortest distance between two lines, Cartesian and vector equation of a plane, the distance of a point from a plane.Some important terminologies that is mandatory for the student to get completely into this chapter are listed below.

## SOME IMPORTANT TERMINOLOGIES FROM THREE DIMENSIONAL GEOMETRY.

**Relation between the direction cosines of a line****Direction cosines of a line passing through two points****Equation of a line through a given point and parallel to a given vector b.****Equation of a line passing through two given points****Angle between Two Lines****Distance between two skew lines****Equation of a plane in normal form****Equation of a plane perpendicular to a given vector, passing through a given point****Intercept form of the equation of a plane****Plane passing through the intersection of two given planes****Distance of a Point from a Plane****Angle between a Line and a Plane**

Briefing all the terminologies listed above,Students will be able to learn what relations do three dimensional geometry has with the direction cosines of a line.You will be able to find directions cosines passing through the two points.Finding equation of a line through a point and parallel to given vector made easy.You too will know how to find angle between two lines,distance between two skew lines,Equation of plane in normal form,finding equation of a plane perpendicular to a given vector,passing through a given point,This chapter too includes Intercept form of the equation of a plane and many more.

## EXAMPLE SOLUTIONS FROM **NCERT SOLUTIONS FOR CLASS 12 MATHS CHAPTER 11 THREE DIMENSIONAL GEOMETRY**.

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### #CLEARING OUT THE THREE DIMENSIONAL GEOMETRY.

After knowing about the three dimensional geometry briefly we provided you the **NCERT Solutions**. We strongly suggest and encourage the students to go through all the solutions from the **PDF File**.As they are the most probable questions along with answers. It has reduces time of the students.Understandable PDF File will help them to secure better marks in the** NCERT Board Examination**.

### #MOTIVATION FOR THE STUDENTS.

We the team of STUDYHUNT kindly request all the students to schedule the time table for the study. It means it will allow you to remain in discipline as well as you can play and enjoy the rest of your time except the scheduled one. By this you will get limited and there will be no chance of wastage of time.This interns, You all will score better marks in your Examinations.