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Math Help - Vector Q - Planes and angles

  1. #1
    Member zzizi's Avatar
    Joined
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    London
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    Vector Q - Planes and angles

    Hi could someone pls help me with this...

    If I have a line:

    3x-2=4y-5=-z+2

    and a normal:

    r(5,-4,1)

    how would I calculate the angle between them?

    If you could show me how... I will do the rest

    many thanks
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  2. #2
    Junior Member nimon's Avatar
    Joined
    Sep 2009
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    Edinburgh, UK
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    64
    I should think it would suffice to find any vector \bf{a} in the direction of your line and calculate

    <br />
\cos\theta = \frac{\bf{a}\cdot\bf{r}}{|\bf{a}||\bf{r}|}<br />

    To find such an \bf{a}, just find two points on your line and find the vector pointing between them.

    What do you think? I'm not 100% sure so be critical!
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