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Math Help - Vector Geometry Question!

  1. #1
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    Vector Geometry Question!

    Hi, im really stuck on this question so would be very grateful if someone could help me with it!




    Thanks
    Gemma
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  2. #2
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    Quote Originally Posted by GemGems123 View Post
    Hi, im really stuck on this question so would be very grateful if someone could help me with it!




    Thanks
    Gemma
    To get rid of the absolute values square both sides of the given equation:

    |\vec a + \vec b| = |\vec a - \vec b|~\implies~(\vec a + \vec b)^2 = (\vec a - \vec b)^2

    (\vec a)^2+2\cdot \vec a \cdot \vec b +(\vec b)^2=(\vec a)^2-2\cdot \vec a \cdot \vec b +(\vec b)^2~\implies~2\cdot \vec a \cdot \vec b = -2\cdot \vec a \cdot \vec b~\implies~4\cdot \vec a \cdot \vec b = 0

    I'll leave the rest for you.
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