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DrDolittle



Joined: 24 Sep 2004
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Post25 Dec 2004 5:15   dc's

what are the direction cosines of a plane and that of a curve.

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cedance



Joined: 24 Oct 2003
Posts: 704
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Location: Germany


Post25 Dec 2004 7:07   Re: dc's

reg. the plane, i think its directly interpreted by defnition as,

suppose the equation is u = ai +bj+ck then,

cos α = a/ |u|, cos β = b/|u|, cos τ = c/|u|

0<=α,β,τ<=pi

that is, u is unit vector if a,b,c are the direction cosines of u.

i think the similar thing holds good for the circle also.. btw, i think it must be direction cosines to a plane and not direction cosines of a plane.. that makes the geometrical interpretation definition of DC different...

/Am
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dazhen



Joined: 23 Nov 2004
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Location: In the Mountain


Post05 Jan 2005 19:26   dc's

Check out the definition of Direction Cosine from Erik's Mathworld.

http://mathworld.wolfram.com/DirectionCosine.html
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