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About LinkBacksDoes anyone know how to derive the cross product formula from the dot product formula? My algebra teacher did it last semester, but I can't find the note, and I can't figure it out myself.
This is a discussion on Cross Product within the A Brief History of Cprogramming.com forums, part of the Community Boards category; Does anyone know how to derive the cross product formula from the dot product formula? My algebra teacher did it ...
Does anyone know how to derive the cross product formula from the dot product formula? My algebra teacher did it last semester, but I can't find the note, and I can't figure it out myself.
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
Uhh... I'm not exactly sure what relevance that program has to my question. Let me rephrase it and see if I can clarify.
I want to know how to go from the dot product formula to the cross product formula. There is a way (I think).
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
oh, lol, sorry. ok i'm pretty sure this is want you're looking for:
http://www.lfcs.inf.ed.ac.uk/reports...S-LFCS-96-345/
hope that helps.
Eep! That's a 179-page doctorate thesis! What I want has nothing to do with calculus. It's linear algebra (vectors in 3-space).
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
details, details. I guess i'm just not good enough for you.
Or maybe you're purposely being an ass.
Does the truth hurt Xterria?
i took linear algebra last semester the forumla goes as follows
if u=(u1, u2, u3) and v=(v1,v2,v3) the cross product is u xv.
u xv = (u2v3 -u3v2, u3v1 - u1v3, u1v2 -u2v1) u can do turn this into matrix form if u want.
dot product aka Euclidean inner product is the same as above only with Un and Vn .
u=(u1, y2, u3..Un) and v=(v1,v2,v3,Vn) and the product is defined by
u xv = (u1v1 + u2v2, + .. UnVn)
Last edited by InvariantLoop; 04-23-2004 at 03:35 PM. Reason: small typo
When no one helps you out. Call google();
I know the formulas for dot and cross products. I'm just trying to figure out how to get the cross product formula using only the dot product formula.
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
i think its very obvious cant u see it? they only differ in 2 things, 1 has Un and Vn which doesnt matter at all, and the other thing is that one has subtraction and the other has addition so all u gotta do is make the prog so it takes the subtraction and change it to addition and u got ur dot product.
When no one helps you out. Call google();
What I'm looking to do is to find out exactly how the equation for cross product is created.
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
u already have the equation, what u need is a way to make it so the machine can understand it.
i can think of an example but no idea if this is correct.
create 2 arrays, u and v, those arrays got elements in them, u1, v1 etc.. since u already know the equation now u gotta multiply the elemts in 1 array with the elemnts of the other array in this way as the equation states (u2v3 -u3v2, u3v1 - u1v3, u1v2 -u2v1) .
When no one helps you out. Call google();
This has nothing to do with programming. I know the formulae, and I know how to implement them. I am just trying to figure out how you get the cross product formula from the dot product formula. Simple pen and paper.
Naturally I didn't feel inspired enough to read all the links for you, since I already slaved away for long hours under a blistering sun pressing the search button after typing four whole words! - Quzah
You. Fetch me my copy of the Wall Street Journal. You two, fight to the death - Stewie
u need the proof for each 1 then
When no one helps you out. Call google();
