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Math Help - The smallest distance between two vectors?

  1. #16
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    Re: The smallest distance between two vectors?

    Actually, I understand the perpendicularness, but wouldn't using that equation find the smallest distance between the velocity vector and position of the plane at any time? Not the plane and station?
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  2. #17
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    Re: The smallest distance between two vectors?

    Therefore you are in the state of Victoria Australia and you compete for a Victorian Certificate of Education. (V.C.E) .
    GOOD LUCK FOR THIS.

    MINOAS
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  3. #18
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    Re: The smallest distance between two vectors?

    Yes, yes I am :P Thanks man!
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  4. #19
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    Re: The smallest distance between two vectors?

    Quote Originally Posted by iamapineapple View Post
    Hahaha, I'm in Australia so I'm a 'VCE' student. Last year of school, highest level of maths available but the difficulty or structure should be similar to international courses I assume.

    This may be a bit too much.
    If \ell_1=P+tD~\&~\ell_2=Q+tE are skew lines (neither are parallel nor do they intersect) then the distance between them is:
    \frac{{\left| {\overrightarrow {PQ}  \cdot \left( {D \times E} \right)} \right|}}{{\left\| {D \times E} \right\|}}
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  5. #20
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    Re: The smallest distance between two vectors?

    Is this an actual formula? ^
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  6. #21
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    Re: The smallest distance between two vectors?

    Quote Originally Posted by iamapineapple View Post
    Is this an actual formula? ^
    Indeed it is. But I don't know how advanced you are.
    To use it, you must understand vector products as a vector which is perpendicular to both vectors.
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  7. #22
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    Re: The smallest distance between two vectors?

    I've covered the basics of vectors but we'll go into more detail when we do vector calculus.

    I have a new question if anyone could help me?

    Let g: R \ {-13/4 } --> R be another function with f[g(x)] = 3 / (4x + 13). Find the rule of g(x). How should I do this!?!
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  8. #23
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    Re: The smallest distance between two vectors?

    I know that the range of g is a subset of the domain of f, so the function exists, but where to go now?
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  9. #24
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    Re: The smallest distance between two vectors?

    .
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