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what does that "*" represent?

* is equal to \(\times \)

a cross-product?

no.., it just times

@gerryliyana
solve for RHS first by using the values of dimensional vectors given in question

\[ab=(uy-vx)+i(vx+uy)\]

yeah i think so

\[ab=\hat{z}\cdot(\vec{a}\times\vec{b})+i(\vec{a}\cdot\vec{b})\]

vx+uy =/= a.b
@electrokid

so what the right answer??

oh yea.. my bad..

that "*" in the question must be a complex conjugate

then it seems you might have it right.

good idea!! oh my bad...,

yeah,"*" means conjugate

always make sure that people are talking the same math language

thank you @electrokid

@electrokid if "*" is complex conjugate then it will be rightly solved

i got it now.., thank you guys :)