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Math Help - Tangential Vector

  1. #1
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    Ulsan
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    Tangential Vector

    Hello !

    Can anyone help me out?

    We all know what F(x,y) = ix + jy looks like when sketched out, as it is a simple radial vector pointing away from the origin with unit vectors in x and y as the components, but can anyone describe to me what G(x,y) = iy + jx looks like?

    I have a suspicion it is a tangential vector but I cannot get my head around a unit vector in the x-direction pointing in the y-direction. Where am I going wrong?

    Thanks !
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by AeolianAlex View Post
    Hello !

    Can anyone help me out?

    We all know what F(x,y) = ix + jy looks like when sketched out, as it is a simple radial vector pointing away from the origin with unit vectors in x and y as the components, but can anyone describe to me what G(x,y) = iy + jx looks like?

    I have a suspicion it is a tangential vector but I cannot get my head around a unit vector in the x-direction pointing in the y-direction. Where am I going wrong?

    Thanks !
    1. Draw some examples!

    2. If you have

    \vec f = x \cdot \vec i + y \cdot \vec j and \vec g = y \cdot \vec i + x \cdot \vec j

    then \vec g is the image of \vec f by refelection over the line y = x.
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  3. #3
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    Thank you for your reply 'earboth'.

    The part I was having trouble visualising was a unit vector in say the x-direction being defined in a direction perpindicular to it, say in the y-direction. But that isn't what is being denoted with (y.i) or (x.j), it is the magnitude that is being changed ! So, again, my thanks to you for clarifying my understanding.

    Cheers
    Alex
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