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3D Coordinate Systems & Vectors

145 CQ
26 Lessons
Course Info
  • Playing
    Free
    6 CQ
    1. Reviewing Coordinate Systems
    A lesson with Math Fortress
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    In this lesson, Math Fortress prepares you for multivariable calculus by going over the basics of one-, two- and three-dimensional coordinate systems.

    Reviewing Coordinate Systems
    with Math Fortress

    In this lesson, Math Fortress prepares you for multivariable calculus by going over the basics of one-, two- and three-dimensional coordinate systems.

  • Playing
    6 CQ
    2. Exploring the 3D Coordinate System
    A lesson with Math Fortress
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    Math Fortress provides more visuals to help you conceptualize and compare two- and three-dimensional coordinate systems and introduces projections in 3D space.

    Exploring the 3D Coordinate System
    with Math Fortress

    Math Fortress provides more visuals to help you conceptualize and compare two- and three-dimensional coordinate systems and introduces projections in 3D space.

  • Playing
    6 CQ
    3. Graphing Equations in 3D Space
    A lesson with Math Fortress
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    In this lesson, Math Fortress walks you through five examples showing how to graph equations in R cubed, or three-dimensional space, of planes and cylinders.

    Graphing Equations in 3D Space
    with Math Fortress

    In this lesson, Math Fortress walks you through five examples showing how to graph equations in R cubed, or three-dimensional space, of planes and cylinders.

  • Playing
    6 CQ
    4. Midpoint & Distance Formulas in 3D Space
    A lesson with Math Fortress
    View lesson

    In this lesson, Math Fortress shows how to adapt the Midpoint and Distance formulas to include the coordinate z in a three-dimensional Cartesian system.

    Midpoint & Distance Formulas in 3D Space
    with Math Fortress

    In this lesson, Math Fortress shows how to adapt the Midpoint and Distance formulas to include the coordinate z in a three-dimensional Cartesian system.

  • Playing
    6 CQ
    5. Practicing the Distance Formula in 3D
    A lesson with Math Fortress
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    See how to find the distance between points on a line, to check if points are collinear, and how to derive the equation of a sphere in three dimensions.

    Practicing the Distance Formula in 3D
    with Math Fortress

    See how to find the distance between points on a line, to check if points are collinear, and how to derive the equation of a sphere in three dimensions.

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