Question

Diketahui koordinat titik A(2,5), B(-5,4) C(1,-2) tentukan
a. vektor AB BC dan AC
b. Panjang vektor-vektor tersebut
c. Panjang vektor AB+BC-AC

Tolong bantu saya jawab yah
Syukron

Answer 1

Verified answer

Dik:
A(2,5)
B(-5,4)
C(1,-2)

Dit:
a. vektor AB BC dan AC
b. Panjang vektor-vektor tersebut
c. Panjang vektor AB+BC-AC

Jawab:

a.
AB = B-A
AB = (-5-2, 4-5)
AB = (-7,-1)

BC = C-B
BC = (1+5, -2-4)
BC = (6, -6)

AC = C-A
AC = (1-2,-2-5)
AC = (-1,-7)

b.
| AB | = akar (-7)^2 + (-1)^2
| AB | = akar 49 + 1
| AB | = akar 50
| AB | = akar 25 x akar 2
| AB | = 5 akar 2

| BC | = akar (-6)^2 + 6^2
| BC | = akar 36 + 36
| BC | = akar 72
| BC | = akar 36 x akar 2
| BC | = 6 akar 2

| AC | = akar (-1)^2 + (-7)^2
| AC | = akar 1 + 49
| AC | = akar 50
| AC | = akar 25 x akar 2
| AC | = 5 akar 2

c. AB+BC-AC
5 akar 2 + 6 akar 2 - 5 akar 2
= 11 akar 2 - 5 akar 2
= 6 akar 2

semoga membantu :)