Let a⃗=⟨−3,−5,−1⟩\displaystyle \vec{{a}}={\left\langle-{3},-{5},-{1}\right\rangle} and b⃗=⟨5,−5,k⟩\displaystyle \vec{{b}}={\left\langle{5},-{5},{k}\right\rangle}.

Find k\displaystyle {k} so that a⃗\displaystyle \vec{{a}} and b⃗\displaystyle \vec{{b}} will be orthogonal.

k\displaystyle {k} =  

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