<prompt> Katika nafasi ya kuratibu, A 6,-7,7, B 16,-17,12,C 0,3,-6, na D 2, -5,10. Tafuta sehemu ya makutano ya mistari AB na CD.  <response>: Acha mathbfa anzepmatrix 6 -7 7 mwishopmatrix, mathbfb anzapmatrix 16 -17 12 mwisho pmatrix, mathbfc anzapmatrix 0 3 -6 mwishopmatrix, na mathbfd anzapmatrix 2 -5 10 endpmatrix. Kisha mstari AB umeainishwa namathbfa t mathbfb - mathbfa anzapmatrix 6 10t -7 - 10t 7 5t mwishopmatrix. Pia, mstari CD ni parameterized namathbfc s mathbfd - mathbfc anzapmatrix 2s 3 - 8s -6 16s mwishopmatrix.Hivyo, tunatakaanzaalign6 10t sekunde 2, -7 - 10t 3 - 8s, 7 5t -6 16s.endalignKutatua mfumo huu, tunapata t -frac715 na s frac23. Tunaweza kupata sehemu ya makutano kama left frac43, -frac73, frac143 kulia. 