7. 3D Geometry

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Coordinate System In 3d Space

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   The coordinate system in 3D space allows us to represent points in a...

2. 1.1

   The Cartesian Coordinate System

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   The Cartesian coordinate system enables representation of points in a 3D...

3. 1.2

   Plotting A Point In 3d

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   This section explains how to plot points in three-dimensional space using...

4. 2

   Distance Between Two Points In Space

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   This section covers the method for calculating the distance between two...

5. 3

   Section Formula In 3d

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   The Section Formula in 3D defines how to determine a point that divides a...

6. 4

   Midpoint Of A Line Segment In 3d

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   The midpoint of a line segment in 3D space is calculated by averaging the...

7. 5

   Equation Of A Line In 3d

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   This section covers the various ways to represent a line in...

8. 5.1

   Parametric Form

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   The parametric form is a way to represent a line in 3D space using a point...

9. 5.2

   Symmetric Form

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   The symmetric form of a line in three-dimensional space provides a compact...

10. 6

    Equation Of A Plane

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    The Equation of a Plane section introduces and explains the mathematical...

11. 6.1

    General Form

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    This section introduces the general equation of a plane in three-dimensional...

12. 6.2

    Plane Passing Through A Point

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    This section introduces how to formulate the equation of a plane passing...

13. 7

    Angle Between Two Planes

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    The angle between two planes is determined by the orientation of their...

14. 8

    Distance From A Point To A Plane

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    This section discusses how to calculate the distance from a point to a plane...

15. 9

    Sphere

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    A sphere is defined as the set of all points in space equidistant from a...

16. 9.1

    Definition

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    A sphere is defined as the set of all points in space at a fixed distance...

17. 9.2

    Equation Of A Sphere

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    The equation of a sphere describes the geometric relationship of all points...

18. 10

    Right Circular Cylinder And Cone

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    This section covers the concepts and equations of right circular cylinders...

19. 10.1

    Cylinder

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    A right circular cylinder is formed when a line segment moves parallel to...

20. 10.2

    Cone

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    This section introduces the concept of a right circular cone, detailing its...

21. 11

    Problems And Examples

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    This section presents practical examples and problems related to the...