Page 47 - Modul Matematika Peminatan Kelas X KD 3.2 (Vektor)

Modul Matematika Peminatan Kelas X KD 3.2

3 = 5 → = 8
2−
2
2 = −1 → =1 ...............................................................................................2
3
3−
⃗⃗⃗⃗⃗
⃗⃗⃗⃗⃗
Jadi koordinat titik S agar = − adalah S(0, 8, 1)............................2

 0 



⃗
3. a. Vektor satuan searah vektor = 0 

 
 1 
⃗
2
2
2

⃗

Panjang vektor = | | = √0 + 0 + (−1) = √1 = 1
 0 
 
 0 
 1   0  



⃗

Vektor satuan searah vektor = = ⃗⃗ = =  0 ……………….5

| ⃗⃗ | 1
 
 1 
−1
⃗
⃗
b. Vektor satuan searah vektor = ( 1 )
⃗
−1

2
2
2

Panjang vektor = | | = √(−1) + 1 + (−1) = √3
−1
( 1 ) −1 −√3
1
Vektor satuan searah vektor = = = −1 = 1 ( 1 ) = ( √3 )

| ⃗⃗ | √3 √3 3
−1 −√3
……………….5

Pembilang dan
penyebut dikalikan
√3

⃗⃗⃗⃗⃗
c. dengan C (3 , -2 , 1) dan D (2 , -2 , 1)
2 3 −1
⃗⃗⃗⃗⃗
= − = (−2) − (−2) = ( 0 )
1 1 0
⃗⃗⃗⃗⃗
⃗⃗⃗⃗⃗
2
2
2
Panjag = | | = √(−1) + 0 + 0 = √1 = 1
−1
( 0 ) −1

⃗⃗⃗⃗⃗
Vektor satuan searah vektor = ⃗⃗⃗⃗⃗ = 0 =( 0 )……………….5
⃗⃗⃗⃗⃗
| | 1
0

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