<prompt> Acha mathbfa na mathbfb ziwe vekta, na mathbfm iwe sehemu ya kati ya mathbfa na mathbfb. Imepewa mathbfm anzapmatrix 3 7 mwishopmatrix na mathbfa cdot mathbfb 6, pata mathbfa 2 mathbfb2.  <response>: Kwa kuwa mathbfm ndio kitovu cha mathbfa na mathbfb,mathbfm fracmathbfa mathbfb2.Kwa hiyo, mathbfa mathbfb 2 mathbfm anzapmatrix 6 14 mwishopmatrix. Kishamathbfa mathbfb2 kushoto anzapmatrix 6 14 mwishopmatrix kulia2 62 142 232.Lakinianzaalignmathbfa mathbfb2 mathbfa mathbfb cdot mathbfa mathbfb mathbfa cdot mathbfa 2 mathbfa cdot mathbfb mathbfb cdot mathbfb mathbfa2 2 mathbfa cdot mathbfb mathbfb2,mwishoalignhivyomathbfa2 mathbfb2 mathbfa mathbfb2 - 2 mathbfa cdot mathbfb 232 - 2 cdot 6 220. 