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Diketahui koordinat titik A ( − 4 , 6 ) , B ( − 2. − 3 ) , dan C ( 4 , 3 ) . Jika u = AB dan v = AC ,tentukan hasil dari ∣ ∣ ​ u + v ∣ ∣ ​ .

Diketahui koordinat titik . Jika  dan ,  tentukan hasil dari .

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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.

 open vertical bar straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar equals square root of 244.

Pembahasan

sehingga, maka, Jadi, .

straight u with rightwards arrow on top equals AB with rightwards arrow on top space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight v with rightwards arrow on top equals AC with rightwards arrow on top space space space space space space equals b with rightwards arrow on top minus a with rightwards arrow on top space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals c with rightwards arrow on top minus a with rightwards arrow on top space space space equals open parentheses table row cell negative 2 end cell row cell negative 3 end cell end table close parentheses minus open parentheses table row cell negative 4 end cell row 6 end table close parentheses space space space space space space space space space space space space space space space space space space space equals open parentheses table row 4 row 3 end table close parentheses minus open parentheses table row cell negative 4 end cell row 6 end table close parentheses space space space equals open parentheses table row 2 row cell negative 9 end cell end table close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses table row 8 row cell negative 3 end cell end table close parentheses 

sehingga,

straight u with rightwards arrow on top plus straight v with rightwards arrow on top equals open parentheses table row 2 row cell negative 9 end cell end table close parentheses plus open parentheses table row 8 row cell negative 3 end cell end table close parentheses space space space space space space space space equals open parentheses table row 10 row cell negative 12 end cell end table close parentheses 

maka, 

open vertical bar straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar equals square root of 10 squared plus open parentheses negative 12 close parentheses squared end root space space space space space space space space space space space equals square root of 100 plus 144 end root space space space space space space space space space space space equals square root of 244 

Jadi, open vertical bar straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar equals square root of 244.

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