Intro to 3D Coordinate Systems

​Introduction to 3D Coordinates

Functions with multivariable components (3+ Variables)​

Finland​

​3D Coordinate Systems

3-Dimensional Graphs are commonly called Solid Analytic Geometry. This is created by taking your normal x- and y-axis and adding the z-axis to them, thus creating a 3-dimensional system. 3-Dimensional points are referred to as being in SPACE!

Multiple Choice

3-Dimensional Graphs are commonly called...

• Fancy Graphs

• Solid Analytical Geometry

• Weird Graphs

• Sleep-Deprived Graphs

​Distance Formula

One of the key things we need to be able to do is to find the Distance between points, and since these points are 3-Dimensional, we need to Modify our Distance Formula to match...​

​Another Example

Multiple Choice

Now you give it a try:

Calculate the Distance between (-6, 2, 4) and (-6, 0, -3)

• 6.785 units

• 8.345 units

• 7.280 units

• 5.647 units

​Midpoint Formula

Just like the Distance Formula, we need to re-work our Midpoint Formula to work with 3 Variables. Thankfully, this doesn't create a formula too difficult to work with...​

​Midpoint Example

Draw

Now You Try:

Midpoint between (-1, 3, 5) and (6, -4, -10)

​Summary

Now that we have the groundwork for finding Distance and Midpoints with 3-Dimensional coordinates, next we will be moving on to SPHERES!!!​

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What is the Country on the Title Slide?