## Problems with vector questions

Three vectors are expressed in terms of other three vectors
in the form of

a=a1α + a2β + a3γ
b=b1α + b2β + b3γ
c=c1α + c2β + c3γ

How to show that a.(bxc) = λ α.(βxγ) and find out λ?

I knew the first part where we carry out dot and product rule for vectors a.(bxc),
but the other side of the equation I have no idea how to start with.
Anyone knows how to do this?
Thanks.
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 Recognitions: Homework Help Can you express each of the greek-letter vectors in terms of the latin-letter vectors?
 a=a1(alpha) + a2(beta) + a3(gamma) b=b1(alpha) + b2(beta) + b3(gamma) c=c1(alpha) + c2(beta) + c3(gamma) How to show that a.(bxc) = λ (alpha) .(beta x gamma) and find out λ?

Recognitions:
Homework Help

## Problems with vector questions

##\alpha = f(a,b,c)##
##\beta = g(a,b,c)##
##\gamma = h(a,b,c)##

what are f g and h?