3-Dimensional planes
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Intros
Lessons
- 3-Dimensional Planes Overview:
- Equation of a Plane
- How do we get the formula for the equation?
- What we need for the formula
- Finding a Plane with a Parallel Plane & 1 point
- Get the Normal Vector
- Plug into the formula
- Finding the Equation of a Plane with 3 points
- Creating 2 vectors
- Using the Cross Product = Normal Vector
- Plug into the formula
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Examples
Lessons
- Finding the Equation of a Plane
Find the equation of the plane which contains the points , and . - Find the equation of the plane which contains the point and is orthogonal to the line .
- Are the Two Planes Parallel, Orthogonal or Neither?
Determine whether the two planes and are parallel, orthogonal, or neither. - Determine whether the two planes and are parallel, orthogonal, or neither.
- Intersection of a Plane and a Line
Determine whether the plane and line intersect.