1 / 7

EXAMPLE 3

a. The vector is BC . From initial point B to terminal point C , you move 9 units right and 2 units down. So, the component form is 9, –2 . EXAMPLE 3. Identify vector components. Name the vector and write its component form. SOLUTION. b.

keziah
Download Presentation

EXAMPLE 3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. a. The vector is BC . From initial point B to terminal point C, you move 9 units right and 2 units down. So, the component form is 9, –2 . EXAMPLE 3 Identify vector components Name the vector and write its component form. SOLUTION

  2. b. The vector is ST . From initial point S to terminal point T, you move 8 units left and 0 units vertically. The component form is –8, 0 . EXAMPLE 3 Identify vector components Name the vector and write its component form. SOLUTION

  3. First, graph ∆ABC. Use 5, –1 to move each vertex 5 units to the right and 1 unit down. Label the image vertices. Draw ∆ A′B′C′. Notice that the vectors drawn from preimage to image vertices are parallel. EXAMPLE 4 Use a vector to translate a figure The vertices of ∆ABC are A(0, 3), B(2, 4), and C(1, 0). Translate∆ABC using the vector 5, –1 . SOLUTION

  4. SOLUTION The vector is RS . From initial point R to terminal point S, you move 5 units right and 0 units vertically. The component form is 5, 0 . for Examples 3 and 4 GUIDED PRACTICE Name the vector and write its component form. 4.

  5. The vector is TX . From initial point T to terminal point S, you move 0 units horizontally and 3 units up. The component form is 0, 3 . for Examples 3 and 4 GUIDED PRACTICE 5. Name the vector and write its component form. SOLUTION

  6. The vector is BK . From initial point B to terminal point K, you move 5 units left and 2 units up. So, the component form is –5 , 2 . for Examples 3 and 4 GUIDED PRACTICE Name the vector and write its component form. 6. SOLUTION

  7. for Examples 3 and 4 GUIDED PRACTICE The vertices of ∆LMN are L(2, 2), M(5, 3), and N(9, 1). Translate ∆LMN using the vector –2, 6 . 7. SOLUTION Find the translation of each vertex by subtracting 2 from its x-coordinate and adding 6 to its y-coordinate. (x, y) → (x – 2, y + 6) L(2, 2) → L′(0, 8) M(5, 3) → M′(3, 9) N(9, 1) → N′(7, 7)

More Related