# Lesson 12EThe Arithmetic of VectorsSolidify Understanding

### 1.

Given Point . Plot the points described on the coordinate grid.

• Point is the image of point after a rotation counterclockwise about the origin.

• Point is the image of point after a rotation counterclockwise about the origin.

• Write the equation of the circle that contains points , , and .

## Set

Two vectors are described in component form in the following way:

and .

On the grids, create vector diagrams to show the result of the vector arithmetic, and provide the components of the resulting vector.

### 7.

Show how to find using the parallelogram rule.

## Go

, , and

Find the following sums, differences, or products, as indicated. If the sum, difference, or product is undefined, explain why.