__Chapter 9 Points, Lines and Planes____Learning Goals__

1. We will be able to represent lines and planes using scalar, vector and parametric equations.

2. We will be able to able to solve problems involving the interactions between points, lines and planes.

__Line with a Plane__

Success Criteria

I can find and describe the three types of intersections between lines and planes

Line to Plane videos

http://youtu.be/EbO_jEQmteA

http://youtu.be/jIgYkGhhwt8

Ex9.1 #1-7,17

Success Criteria

I can find and describe the four types of intersections between two lines.

Videos

Part 1

Part 2

Part 3

Part 4

Ex9.1 #8-15,18

9.2 Systems of Equations

Success Criteria

I can solve systems of three equations using substitution and elimination.

Videos

http://youtu.be/MJE4EPbQMD0

http://youtu.be/CdpFu7t0dJ4

http://youtu.be/aPKz7011lAA

http://youtu.be/LNABv0yKA6o

Ex9.2 #9-11,12ace 13-15

9.2b Systems with Matrices

Success Criteria

I can solve systems of three equations using matrices.

Videos

Intro to Augmented Matrices

http://youtu.be/LsnOlNjWWug

Row echelon

http://youtu.be/BWBckWPjfpw

Reduced Row Echelon

http://youtu.be/-aAucWVD--M

p.595 #3,4

9.3 Intersection of Two Planes

Success Criteria

I can find and describe the three types of intersections for two planes.

Videos

http://youtu.be/4Ogpbjo3XWM

http://youtu.be/FNpUxGH8L8A

Using Cross Product

http://youtu.be/SoSTdgqknvY

Ex9.3 #1-12

9.4 Intersection of Three Planes

Success Criteria

I can find and describe the eight cases for the intersection of three planes.

Videos

Set 15 cases where all three planes distinct

http://youtu.be/duFRYId7kNU

1 point of intersection

http://youtu.be/zga9_x-rh3E

Line of intersection

http://youtu.be/V9Lo9M7gwCg

Set 2

Consistent Systems - Coincident Planes

http://youtu.be/CD1EvZX0rII

Intersection in a line

http://youtu.be/ju46qta88Wo

Inconsistent systems

http://youtu.be/_i_YOQb3CK0

Ex9.4 1,2,5,6,8ac,9,10,11,12ac,13ace,15

9.5 Distance Point to a Line

Success Criteria

I can determine the distance to a line in R2 and R3.

Videos

First Video

http://youtu.be/TByHieZN4vw

point to line R2

http://youtu.be/zcSFqyNe8e8

Point to line R3

http://youtu.be/Rqs3taN49Ik

Parallel lines in R2

http://youtu.be/oljMyUBnEuo

Between skew lines

http://youtu.be/sbvvIcw77VY

Ex9.5 1a, 2a, 3a, 5abc, 6a, 7a, 8, 10

__9.6 Distance Point to a Plane__

__Success Criteria__I can determine the distance to a plane.

Videos

First Video

http://youtu.be/3JXpqOwvHFY

point to a plane

http://youtu.be/7nVq1Yey8Qc

Parallel planes

http://youtu.be/eptQaLh9rKs

Ex9.6 #1,2,3,5,6