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| Analytical Geometry http://forums.clankiller.com/viewtopic.php?f=1&t=867 |
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| Author: | RB [ Thu Jun 03, 2004 6:26 pm ] |
| Post subject: | Analytical Geometry |
I done some a.g. help. Of course, that was nothing for me but I do wonder on that if you know these little things. Just some random testes (All is for 3 or more dimensions): 1. You have two spheres. When they will touch each other? 2. You have one hexaedre with edge a. Find length of longest diagonal. 3. You have vector (3d) a(xa,ya,za) and b(xb,yb,zb). What are: a · b a × b 4. You have three points which derermine one plane. Find normed normal on the plane? 5. You have three points which determine one plane and another two points which determine one line. Where line shall pass through plane? 6. How you'll find distance between one point and plane determined with three other points? 7. ... And distance between one point and line determined with two other points? 8. You have curve: y^2 = x^3 + 2*x^2 + x + 501. What would be its tangent for x = a? 9. How you will rotate vector around vector for angle omega? 10. Why one-winged hyperboloyde ( (x1/a)^2 + (x2/b)^2 - (x3/c)^2 = 1 ) is 2k-surface? |
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| Author: | J [ Fri Jun 04, 2004 12:18 am ] |
| Post subject: | |
Great, he stopped with baldur's gate riddles, now he comes up with mathematical questions. 
Too early to break my brain on it, and i must say that it's been 4 years or something since i last did such stuff. So the layer of dust covering this part of knowledge is too thick to pass through. |
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| Author: | Franny [ Fri Jun 04, 2004 5:39 am ] |
| Post subject: | |
I reckon i can do most of those, not entirely sure what a hexaedre is supposed to be though, i don't know what you mean for 9, and i can't do 10. But if i sat down with a pen and paper then i could do all the rest |
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| Author: | RB [ Fri Jun 04, 2004 6:56 am ] | ||||||||||||||||||
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Who said that I stopped. I just stopped posting. BTW, one riddle is unsolved, yet hehe.
That's good to hear. Hexaedre is simple - box. Deutsche: Hexaeder. Take this info: Icosaeder. What I meant for 9? See attachment. You have a,c and omega. Find b. |
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