Question: A plant biologist studies the growth vector $ \vecOG $ of a crop, defined by $ \vecOG = m\vecOA + n\vecOB $, where $ \|\vecOA\| = 3 $, $ \|\vecOB\| = 4 $, and $ \vecOA \cdot \vecOB = 0 $. If $ \|\vecOG\| = 5 $ and $ \vecOG $ is perpendicular to $ \vecOA + \vecOB $, find $ (m, n) $. - Portal da Acústica