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.