Re: [math-fun] perpendicular planes
Gene wrote: << From: Dan Asimov <dasimov@earthlink.net> To: math-fun <math-fun@mailman.xmission.com> Sent: Sun, March 27, 2011 12:20:32 AM Subject: Re: [math-fun] perpendicular planes If two lines are given parametrically by {u0 + su} and {v0 + tv} for (s,t) in R^2, vectors u0, v0, and unit vectors u, v, then the distance between the lines is just (setting w0 = u0-v0) |w0 * u x v|, or am I missing something? --Dan ________________________________________________________________________________________ Let's divide that expression by |u x v|.
Yes, let's. --Dan ________________________________________________________________________________________ "Outside of a dog, a book is man's best friend. Inside of a dog, it's too dark to read." --Groucho Marx
Is the D Asimov in the Sloane et al paper our own D A? just curious Tippy-tapped on my iPad On Mar 27, 2011, at 1:10 PM, Dan Asimov <dasimov@earthlink.net> wrote:
Gene wrote:
<< From: Dan Asimov <dasimov@earthlink.net>
To: math-fun <math-fun@mailman.xmission.com> Sent: Sun, March 27, 2011 12:20:32 AM Subject: Re: [math-fun] perpendicular planes
If two lines are given parametrically by {u0 + su} and {v0 + tv} for (s,t) in R^2, vectors u0, v0, and unit vectors u, v, then the distance between the lines is just (setting w0 = u0-v0)
|w0 * u x v|,
or am I missing something?
--Dan ________________________________________________________________________________________
Let's divide that expression by |u x v|.
Yes, let's.
--Dan
________________________________________________________________________________________ "Outside of a dog, a book is man's best friend. Inside of a dog, it's too dark to read." --Groucho Marx
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Thane Plambeck