Page 43


Problems 1, 2, 3


For the applet below, be certain your calculator is in DEGREE MODE. Drag Point C around, being sure C is placed in each quadrant before you calculate the TAN of the angle the line makes with the positive x-axis.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)



Problem 4


2011-01-18_0006.jpg



Problem 5


2011-01-19_0001.jpg

2011-01-19_0002.jpg

2011-01-19_0003.jpg

01-19-2011_Image002.jpg



Problem 6


Just take the average of the coordinates:





Problem 7




Problem 8


11.2 in



Problem 9


2011-01-19_0004.jpg



Problem 10


Any point P on the z-axis will have coordinates P(0,0,z).

The vectors from P to A and P to B are, respectively,



Looking for that value of z that makes the dot product zero, I solve the equation



or, simplifying



Using my Nspire to solve this, I find z is approximately -1.2915 or 9.2915.




Page 44


Problem 1, 2, and 3




Problem 4


Page 44 #4
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Problem 5


Page 44 #5
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Problem 6


2011-02-08_0003aa.jpg



Problem 7


This would probably be proved by SAS and appealing to CPCTC.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com



Problems 8 and 9


done in class



Problem 10


Drag this around and do the appropriate calculations.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com



Problem 11


2011-02-08_0001a.jpg



Problem 12


2011-02-08_0002.jpg



Problem 13


2011-02-08_0002a.jpg