3-D coordinate system
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Intros
Lessons
- 3-D Coordinate System Overview:
- Axis in 1D, 2D, and 3D
- Points in 3D
- -plane, -plane, and -plane
- Projection & Distance of points
- Projection of a point on a plane
- Distance between two points in 3D
- Knowing and Applying the formula
- Graphing & Analyzing Equations
- Graphing the equation in
- Can this equation be graphed in this dimension?
- Other Equations we might see in the course
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Examples
Lessons
- Finding Projection of Points
Find the projection of the point onto the -plane. - Finding the Distance of Two Points
Find the distance between and . - Find the distance between and .
- Graphing Equations in Different Dimensions
Graph the equation in 3D. - Analyzing Equations in Different Dimensions
Determine whether the equation can be graphed in 1D, 2D and 3D. - Express a 3D Shape as an Equation
Suppose a sphere is centred at (2,5,3) and the radius of the sphere is 4. Express the sphere as an equation in . - Suppose a cylinder is centred at the origin, and the radius of the cylinder is 3 cm. In addition, the cylinder is aligned to the y-axis. Express the cylinder as an equation in .