ICSE Class 11 Maths | 7. Introduction to Three-Dimensional Geometry by Pavan | Learn Smarter
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7. Introduction to Three-Dimensional Geometry

The chapter explores three-dimensional geometry, extending the concepts of coordinate geometry into space. It details the coordinate axes, the coordinates of points in three-dimensional space, and important formulas for calculating distances and intersections within this space. This foundational knowledge is crucial for analyzing spatial relationships and understanding geometric figures that exist beyond the two-dimensional plane.

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Sections

  • 7

    Introduction To Three-Dimensional Geometry

    This section introduces three-dimensional geometry, focusing on how to represent points in three-dimensional space using coordinates.

    Learning Practice

  • 7.1

    Introduction

    Three-dimensional geometry expands upon basic geometry concepts by utilizing three coordinates to describe spatial relationships.

    Learning Practice

  • 7.2

    Coordinate Axes And Coordinate Planes In 3d

    This section introduces the three coordinate axes in three-dimensional geometry and how they define coordinate planes.

    Learning Practice

  • 7.3

    Coordinates Of A Point In Space

    This section explains how a point in three-dimensional space is represented using ordered triplets of coordinates (x, y, z).

    Learning Practice

  • 7.4

    Distance Between Two Points In Space

    This section outlines the formula to calculate the distance between two points in three-dimensional space using coordinates.

    Learning Practice

  • 7.5

    Section Formula In Three Dimensions

    The section discusses the section formula in three dimensions, explaining how to find the coordinates of a point that divides the line segment joining two points in a specified ratio.

    Learning Practice

  • 7.6

    Coordinate Planes And Their Intersections

    This section explains the coordinate planes in three-dimensional geometry and discusses how points or lines may lie on or intersect these planes.

    Learning Practice

References

m11-7.pdf

Class Notes

Memorization

What we have learnt

  • Three-dimensional geometry ...
  • The coordinate planes in th...
  • The distance between two po...

Final Test

Revision Tests