What are the direction cosines of a plane and of a curve?

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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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