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Pertanyaan

Diketahui koordinat A ( − 1 , 3 ) dan B ( 3 , 6 ) . b. Tentukan besaran AB .

Diketahui koordinat  dan .

b. Tentukan besaran 

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

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Pembahasan

Diketahui : Ditanya : Tentukan besaran Jawab : Maka besaran vektor dapat dicari dengan rumus berikut :

Diketahui :

begin mathsize 14px style A left parenthesis negative 1 comma 3 right parenthesis end style 

begin mathsize 14px style B left parenthesis 3 comma 6 right parenthesis end style

Ditanya :

Tentukan besaran begin mathsize 14px style stack A B with rightwards arrow on top end style 

Jawab :

begin mathsize 14px style stack A B with rightwards arrow on top equals B with rightwards arrow on top minus A with rightwards arrow on top stack A B with rightwards arrow on top equals open square brackets table row 3 row 6 end table close square brackets minus open square brackets table row cell negative 1 end cell row 3 end table close square brackets stack A B with rightwards arrow on top equals open square brackets table row cell 3 plus 1 end cell row cell 6 minus 3 end cell end table close square brackets stack A B with rightwards arrow on top equals open square brackets table row 4 row 3 end table close square brackets end style 

 

Maka besaran vektor begin mathsize 14px style stack A B with rightwards arrow on top end style dapat dicari dengan rumus berikut :

begin mathsize 14px style open vertical bar stack A B with bar on top close vertical bar equals square root of open parentheses x subscript i close parentheses squared plus open parentheses x subscript 2 close parentheses squared end root open vertical bar stack A B with bar on top close vertical bar equals square root of open parentheses 4 close parentheses squared plus open parentheses 3 close parentheses squared end root open vertical bar stack A B with bar on top close vertical bar equals square root of 16 plus 9 end root open vertical bar stack A B with bar on top close vertical bar equals square root of 25 open vertical bar stack A B with bar on top close vertical bar equals 5 end style 

 

 

 

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