<prompt> Tafuta pembe, kwa digrii, kati ya vekta anzapmatrix 2 5 endpmatrix na beginpmatrix -3 7 endpmatrix.  <response>: Ikiwa theta ni pembe kati ya vekta, basianzaaligncos theta fracanzapmatrix 2 5 mwishopmatrix cdot anzapmatrix -3 7 mwishopmatrixleft anzapmatrix 2 5 mwishopmatrix kulia cdot kushoto anzapmatrix -3 7 mwishopmmatrix kulia frac2 cdot -3 5 cdot 7sqrt22 52 cdot sqrt-32 72 frac29sqrt29 sqrt58 frac1sqrt2.endalignKwa hivyo, cos theta 45circ. 