Answer
$14 \sqrt 3$
Work Step by Step
$|a|=7,|b|=4$ , $ \theta =30^\circ$
Dot product formula: $a \cdot b=|a||b|cos \theta$
$a \cdot b=(7)(4)cos 30^\circ$
$a \cdot b=28(\frac{\sqrt 3}{2})$
$a \cdot b=14 \sqrt 3$
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