# Lesson 11Plane GeometryPractice Understanding

Examine each of the scatterplots shown. If possible, make a statement about the relationship between the two quantities depicted in the scatterplot.

### 4.

The equations for the regression lines for scatterplots 1, 2, and 3 are given in random order. Use what you know about equations of lines to match each equation with the correct scatterplot. Justify your answers.

## Set

Given: , , . Each of these three vectors represents a force pulling on an object—such as in a three-way tug-of-war with the force exerted in each direction being measured in pounds.

### 5.

Find the magnitude of each vector. This is the number of pounds of force being exerted on the object by each tug. (Round to the nearest hundredth.)

### 7.

Draw a vector diagram showing the resultant direction and magnitude of the motion resulting from this three-way tug-of-war.

### 8.

Consider the effects of the forces if they are multiplied or scaled.

#### a.

Find the magnitude of .

#### b.

Find the magnitude of .

#### c.

Write the component notation and also graph .

## Go

Show how this system of equations can be solved in three different ways.

First Method:

Second Method:

Third Method: