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Re^4: (OT) moving points from one plane to another

by merrymonk (Hermit)
on Jul 09, 2009 at 12:52 UTC ( [id://778558]=note: print w/replies, xml ) Need Help??


in reply to Re^3: (OT) moving points from one plane to another
in thread (OT) moving points from one plane to another

It is a part geometry problem where the basic profile is defined in one plane but is used in another plane.
Do you know if I am correct in thinking that the angle between the two planes is the dot product of the normals to the two planes?

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Re^5: (OT) moving points from one plane to another
by BrowserUk (Patriarch) on Jul 09, 2009 at 13:09 UTC
    the angle between the two planes is the dot product of the normals to the two planes?

    Correct.


    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.
Re^5: (OT) moving points from one plane to another
by assemble (Friar) on Jul 09, 2009 at 15:34 UTC

    No!

    The angle between the normals is the angle between the two planes, but you don't get angles out of a dot product!

    If θ is the angle between the planes: θ = cos-1((n1.n2)/(|n1||n2|))

    This formula is based on one of the definitions of the dot product, which states: n1.n2=|n1||n2|cos(θ)

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