Answer
12
Work Step by Step
Recall that
$(a_{1}\hat{i}+a_{2}\hat{j}+a_{3}\hat{k})\cdot (b_{1}\hat{i}+b_{2}\hat{j}+ b_{3}\hat{k})=$$a_{1}b_{1}+a_{2}b_{2}+a_{3}b_{3}$.
Then,
$<1,1,1>\cdot<6,4,2>= 1\times6+1\times4+1\times2= 12$
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