Tolong jawab ya. Makasih.
Matematika
Zunikarinda
Pertanyaan
Tolong jawab ya.
Makasih.
Makasih.
1 Jawaban
-
1. Jawaban ahmadres2
34. A=(1,0,2), B=(5,4,10), C=(4,6,4)
P=(3B+A)/4
=(3(5,4,10)+(1,0,2)/4
=(16,12,32)/4
P=(4,3,8)
PC=C-P -->(4,6,4)-(4,3,8)=(0,3,-4)
AB=B-A -->(5,4,10)-(1,0,2)=(4,4,8)
|AB|=√(16+16+64)=√96=4√6
maka:
|ē|=(PC.AB)/|AB|
=((0,3,-4).(4,4,8))/4√6
=(12-32)/4√6
= -20/4√6
= -5/√6 = (-5√6)/6
35. a=(2,-2,4), b=(4,2,p), |ē|=(8√5)/5
|ē|= (a.b)/|b|
(8√5)/5=((2,-2,4).(4,2,p))/√(4²+2²+p²)
(8√5)(√20+p²)=5(4+4p)
8√(100+5p²)=20+20p <---dikuadratkan
64(100+5p²)=400p²+800p+400
6400+320p²=400p²+800p+400
400p²-320p²+800p+400-6400=0
80p²+800p-6000=0<----dibagi 40
2p²+20p-150=0
(2p+30)(p-5)
->p= -15
->p=5
yg memenuhi jika dimasukan dalam rumus adalah 5, maka {p=5}