# vector calc 1 problem solving question

• Mar 29th 2009, 04:10 AM
vixsta101
vector calc 1 problem solving question
you are told that ABCD is a square in R2 and that it contains the origin (0,0). You also know that A has coordinates (-1,-3) and B has coordinates (4,-2). what are the coordinates of the remaining verticies C and D? explain your answer and draw a sketch. (Wondering)
• Mar 29th 2009, 07:06 AM
Soroban
Hello, vixsta101!

Did you make a sketch?

Quote:

You are told that $\displaystyle ABCD$ is a square in $\displaystyle R^2$ and that it contains the origin $\displaystyle (0,0).$
This means that the origin in inside the square.

You also know that vertex $\displaystyle A$ has coordinates $\displaystyle (\text{-}1,\text{-}3)$
and vertex B has coordinates $\displaystyle (4,\text{-}2).$
What are the coordinates of the remaining vertices $\displaystyle C$ and $\displaystyle D$?

Code:

              |               |        (3,3)       * - - - + - - - - - o - *       :      |          C  :     D o(-2,5) |              :       :      |              :       :      |              :       :      |              :   ----+-------+---------------+----       :      |O              :       :      |              :       :      |              B:       :      |              o(4,-1)       :  A  |              :       * - o - | - - - - - - - *       (-1,-3)|               |
We can "walk" our way through this . . .

Going from vertex $\displaystyle A$ to vertex $\displaystyle B$, we move 5 units right and 1 unit up.

Going from vertex $\displaystyle B$ to vertex $\displaystyle C$, we move 1 unit left and 5 units up. .
(Why?)
. . Hence: .$\displaystyle C(3,3)$

Going from vertex C to vertex D, we move 5 units left and 1 unit down.
. . Hence: .$\displaystyle D(\text{-}2,2)$

• Mar 29th 2009, 11:23 PM
vixsta101
thanks so much :D :D
u are a genius haha