Question

Diketahui A (-1,5,4), B (2,-1,-2) dan C (3,p,q). jika vektor AB = k . vektor AC dengan k konstan maka nilai p dan q berturut - turut adalah,, sertakan rumus

Answer 1

Verified answer

AB =b -a =(2,-1,-2)- (-1,5,4) =(3,-6,-6)
AC =c-a =(3,p,q)-(-1,5,4) = (4, p-5, q-4)

AB =kAC
(3,-6,-6)=k(4, p-5, q-4)
k=3/4

-6= 3/4(p-5)
-24 =3p -15
15-24=3p
-9 =3p
p =-9/3 =-3

-6 =3/4(q-4)
-24 = 3q-12
12-24 =3q
-12 =3q
q =-12/3 =-4