A vector v forms with axis 0x and 0y the angles alpha=120º and beta=45º. What angle does v make with 0z? i know the answer is gama=45º, but how do i get there?

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A vector v forms with axis 0x and 0y the angles alpha=120º and beta=45º. What angle does v make with 0z? i know the answer is gama=45º, but how do i get there?

Mathematics
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is anyone gonna answer this? i really need it.
having little trouble working it out...hold on
ok :)

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just leave it, thanks for the time.. :)
fooound it. cos^2alpha+cos^2beta+co^2gama=1
\[\cos^2(\gamma) =1 - \cos^2(\alpha) - \cos^2(\beta) =\\ 1- \frac 1 4 - \frac 1 2=\frac 14\\ \beta = 30 \]

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