6. Three Dimensional Geometry

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Coordinate System In 3d Space

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   This section introduces the three-dimensional coordinate system, explaining...

2. 1.1

   Octants

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   In the 3D coordinate system, space is divided into eight octants, serving as...

3. 2

   Distance Between Two Points

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   This section covers the formula and concept of calculating the distance...

4. 3

   Section Formula In 3d

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   The section focuses on understanding the Section Formula in 3D geometry,...

5. 3.1

   Internal Division

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   This section explains the internal division of a line segment in 3D space...

6. 3.2

   Midpoint Formula

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   The Midpoint Formula allows for the calculation of the point that is...

7. 4

   Direction Cosines And Direction Ratios

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   Direction cosines represent the angles a line makes with the coordinate...

8. 5

   Equation Of A Line In Space

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   This section introduces the equations of a line in three-dimensional space,...

9. 5.1

   Vector Form

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   This section introduces the vector form of the equation of a line in 3D space.

10. 5.2

    Parametric Form

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    The parametric form represents the equations of a line in three-dimensional...

11. 5.3

    Symmetric Form

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    The Symmetric Form of a line in three-dimensional geometry expresses the...

12. 6

    Angle Between Two Lines

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    This section covers the calculation of the angle between two lines in...

13. 7

    Skew Lines And Shortest Distance

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    This section explains the concept of skew lines and how to calculate the...

14. 7.1

    Shortest Distance (D) Between Skew Lines

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    This section focuses on calculating the shortest distance between two skew...

15. 8

    Equation Of A Plane

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    This section discusses the general form, vector form, and normal form of the...

16. 8.1

    General Form

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    In this section, we explore the general form of the equation of a plane in...

17. 8.2

    Vector Form

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    Vector form provides a concise representation of lines in three-dimensional...

18. 8.3

    Normal Form

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    Normal Form describes the equation of a plane in three-dimensional space,...

19. 9

    Angle Between Two Planes

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    This section outlines the method to calculate the angle between two planes...

20. 10

    Angle Between A Line And A Plane

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    This section explains how to calculate the angle between a line and a plane...