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Math Help - vector calc 1 problem solving question

  1. #1
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    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.
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  2. #2
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    Hello, vixsta101!

    Did you make a sketch?


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


    You also know that vertex A has coordinates (\text{-}1,\text{-}3)
    and vertex B has coordinates (4,\text{-}2).
    What are the coordinates of the remaining vertices C and 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 A to vertex B, we move 5 units right and 1 unit up.

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

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

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  3. #3
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    thanks so much
    u are a genius haha
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