Lesson 12E The Arithmetic of Vectors Solidify Understanding

Ready

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 .

Point A (3,4) x–5–5–5555y–5–5–5555000

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.

2.

a blank 17 by 17 grid

3.

a blank 17 by 17 grid

4.

a blank 17 by 17 grid

5.

a blank 17 by 17 grid

6.

a blank 17 by 17 grid

7.

Show how to find using the parallelogram rule.

a blank 17 by 17 grid

Go

, , and

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

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