Section 8.3 Properties of Planes
Key Concepts:
Lessons for Section 8.3:
Properties of Planes
1. Normal Vector to a Plane
2. Determining Scalar Equation of a Plane Using a Normal Vector
1. Normal Vector to a Plane
2. Determining Scalar Equation of a Plane Using a Normal Vector
3. Scalar Equation of a Plane Given a Normal Vector and a Point (Example 1 and Example 2)
Note: Change the equation of a plane from rectangular form to scalar form by moving the constant term over.
Note: Change the equation of a plane from rectangular form to scalar form by moving the constant term over.
4. Determining the Equation of a Plane Given 3 Points
Note: It is easier to determine the value of "D" by substituting (x, y, z) of the given point into Ax + By + Cz = D.
5. Using Properties of Planes to Write Equations
6. Determining the Angle between Two Planes
Assigned Practices:
- eBook: Read p. 454 to 458
- eBook: Do exercises on p. 458 #1 to 7 (any 3 parts for each question), #8 to 12, #14
- eBook: In-Class exercises on p. 460 #16 to 19