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spndsh
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Simplify: Using Vector Algebra: 1/2 (a +b) dot [c cross (2a +b)]
 2 years ago
 2 years ago
spndsh Group Title
Simplify: Using Vector Algebra: 1/2 (a +b) dot [c cross (2a +b)]
 2 years ago
 2 years ago

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spndsh Group TitleBest ResponseYou've already chosen the best response.0
dw:1355251229553:dw
 2 years ago

spndsh Group TitleBest ResponseYou've already chosen the best response.0
do i distribute the 1/2 or the (a+b)?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
if i remember properly, cX(a.b) is the scalar triple product or box product denoted by [a b c] ans a. [a b c] = b. [a b c] = c. [a b c] = 0 so if u distribute (a+b), you'll get final answer as 0
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
also [na mb pc] = mnp [a b c ]
 2 years ago

spndsh Group TitleBest ResponseYou've already chosen the best response.0
so i wouldn't simplify the inside of the brackets?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
[cX 2a.b] = 2 [a b c]
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
i think i misinterpreted the question....
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
dw:1355252100635:dw
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
=0 + 1/2 [a c b]+ 1/2 b . 2c X a + 1/2 b . c X b =0 + 1/2 [a c b]+1/2 [b c a]+ 1/2[b c b] =0 1/2 [a b c] +1/2 [a b c] + 0 =0+0+0=0 now this seems right.
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
if you could understand.... ask if there is any doubt in any step.
 2 years ago

spndsh Group TitleBest ResponseYou've already chosen the best response.0
just one question whats the operation inside the bracket i.e [b c a]?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
cyclic change doesn't change sign [a b c] = [b c a] = [c a b] else, sign changes [a b c] = [a c b ] = [b a c]
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
if any 2 or more vectors are same, then box product =0 [a a b] = [b b a] = ... = 0
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
or u meant to ask [a b c] = a.bXc ?
 2 years ago

spndsh Group TitleBest ResponseYou've already chosen the best response.0
thanks so much!
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
hmm...welcome ^_^
 2 years ago
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