Monday, July 27, 2009

Given u=6i+3j+2k and v= -3i+4j+k, find... (vectors)?

-vectors-


a) 4u-3v


b) u(dot)v


c) u(cross)v


d) a unit vector perpindicular to both u and v

Given u=6i+3j+2k and v= -3i+4j+k, find... (vectors)?
let w=(a,b,c) is perpindicular to u and v





w.u = 6a+3b+2c=0


w.v = -3a+4b+c = 0





solve for a and b





c remains undetermined since there are many such vectors w


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