sir
i have defined the cross product clearly ... not my cross product
i just want to know if this can be proved algebraically ...
are definitions not proved ...
are they defined simply ...
No
you first prove and then form it as a definition or a theorem
i finally want to know if...
yes i am trying to prove this u x v = |v| |u| sin (theta)
the determent form is obtained only after i know what the cross product is
i,e first prove the cross product which is this |v| |u| sin (theta) and then u can apply the same in the form of a determinant
oh i am sorry if you have encountered some frustration....
Fine my question plain...
product of two vectors should give u a vector ...
now my question is as to how one could arrive at the expression for the croos product of two vectors which is (mod)a* (mod)*b*sin alpha *n(cap) where n is the...
no no the proof is even simpler ... i was shown once by my lecturer ... he now wants me to crack my head and recaptulate it...
he started like this
(vector A cross VectorB)=sqrt(something) .... i just want to know that something.... anyone who can remember this and tell me what that "something"...
TO be very honest i only know the definition of cross product of two vectors but i would like to prove.....in fact all textbooks just define the cross product
how can i derive it starting from the first principles i,e, i must start with something and finally arrive at the expression given...