<prompt> Acha mathbfb anzepmatrix -1 4 6 mwishopmatrix na mathbfc anzapmatrix 2 -7 -10 endpmatrix. Pata thamani ya juu zaidi yamathbfc cdot mathbfa nyakati mathbfb,ambapo mathbfa ni kitengo cha vekta.  <response>: Kwa bidhaa ya scalar triple,anzaalignmathbfc cdot mathbfa nyakati mathbfb mathbfa cdot mathbfb nyakati mathbfc mathbfa cdot kushoto anzapmatrix -1 4 6 mwishopmatrix nyakati anzapmatrix 2 -7 -10 mwishopmatrix haki mathbfa cdot anzapmatrix 2 2 -1 mwishopmatrix.endalignKumbuka hilokushoto mathbfa cdot anzapmatrix 2 2 -1 mwishopmatrix kulia le mathbfa kushoto anzapmatrix 2 2 -1 mwishopmatrix kulia le 3.Usawa hutokea wakati mathbfa ni kitengo cha vekta inayoelekeza upande wa beginpmatrix 2 2 -1 endpmatrix, ambayo ni startpmatrix 23 23 -13 endpmatrix, kwa hivyo thamani ya juu tunayotafuta ni 3. 