dc's

dc's

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DrDolittle

Joined: 24 Sep 2004
Posts: 169
Helped: 4
Location: Within arm's reach

25 Dec 2004 5:15 dc's

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

Regards
drdolittle Smile

cedance

Joined: 24 Oct 2003
Posts: 704
Helped: 28
Location: Germany

25 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

dazhen

Joined: 23 Nov 2004
Posts: 60
Helped: 2
Location: In the Mountain

05 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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