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.

Problem 4

Problem 5

Problem 6

Just take the average of the coordinates:

Problem 7

Problem 8

11.2 in

Problem 9

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.

## Table of Contents

## 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.

## Problem 4

## Problem 5

## Problem 6

Just take the average of the coordinates:

## Problem 7

## Problem 8

11.2 in

## Problem 9

## 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

brought to you by Livescribe

## Problem 5

brought to you by Livescribe

## Problem 6

## Problem 7

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

## Problems 8 and 9

done in class

## Problem 10

Drag this around and do the appropriate calculations.

## Problem 11

## Problem 12

## Problem 13