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Math Help - Vectors

  1. #1
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    Vectors

    Hi, I have 3 questions. If anyone could please answer them I would greatly appreciate it.

    question1. Find scalars r and s such that

    r [-2,1] + s [3, -4] = [13, -24]


    question2. Use vectors to show that WYZX is a parallelogram if X is (-2,5), Y(3,4), W(-3, -1), and Z(4, 10).


    question3. If p (-3, 1), q(2, -4) and r(3,2). find x if 2q-x=r.


    all help is appreciated.. thanks!!!
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  2. #2
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    Can you solve \left\{ \begin{array}{l}  - 2r + 3s = 13 \\  r - 4s =  - 24 \\  \end{array} \right.?

    Can you show that \overrightarrow {WY} \,\& \,\overrightarrow {XZ} are parallel and have the same length?
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  3. #3
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    Quote Originally Posted by Plato View Post
    Can you solve \left\{ \begin{array}{l}  - 2r + 3s = 13 \\  r - 4s =  - 24 \\  \end{array} \right.?

    Can you show that \overrightarrow {WY} \,\& \,\overrightarrow {XZ} are parallel and have the same length?

    Yes, I can. Thank you. I didn't realize it was so simple. :/
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  4. #4
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    question3. If p (-3, 1), q(2, -4) and r(3,2). find x if 2q-x=r.
    2q-x = r solves to x = 2q-r

    Now just substitute and simplify. Remember: a(b,c) = (ab,ac) and (a,b) + (c,d) = (a+c, b+d)
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