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Math Help - vector question - parallelogram

  1. #1
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    Exclamation vector question - parallelogram

    The question and the solution are attached in this post.

    I don't understand the solution to question a) ii., could someone please explain it to me?
    Attached Thumbnails Attached Thumbnails vector question - parallelogram-vector-question.jpg   vector question - parallelogram-vector-question-solution.jpg  
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  2. #2
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    Quote Originally Posted by shawli View Post
    The question and the solution are attached in this post.

    I don't understand the solution to question a) ii., could someone please explain it to me?

    It's just cumbersome notation: note that since ABCD is a paralellogram, it must be that AD=BC\,,\, \|AD\|=\|BC\|\,,\,AD//BC\Longrightarrow \overrightarrow{AD}=\overrightarrow {BC} , and

    putting D=xi+yj , we get that \overrightarrow{AD}=(x-4)i+(y-2)j=-6i-2j=\overrightarrow{BD}\Longrightarrow x=-2\,,\,y=0\Longrightarrow D=-2i

    Tonio
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  3. #3
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    Ohhh I see it ...drawing it helps.

    Thank you!!
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