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Jika vektor a = 3 i + 2 j ​ dan b = 2 i − j ​ , hasil ( 2 a + b ) . ( a − b ) adalah ...

Jika vektor  dan , hasil  adalah ...

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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hasil adalah

hasil open parentheses 2 a with rightwards arrow on top plus b with rightwards arrow on top close parentheses. open parentheses a with rightwards arrow on top minus b with rightwards arrow on top close parentheses adalah 17 

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Pembahasan

Diketahui vektor dan , maka: Jadi, hasil adalah

Diketahui vektor a with rightwards arrow on top equals 3 i with hat on top plus 2 j with hat on top dan b with rightwards arrow on top equals 2 i with hat on top minus j with hat on top, maka: 

table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell open parentheses 2 a with rightwards arrow on top plus b with rightwards arrow on top close parentheses. open parentheses a with rightwards arrow on top minus b with rightwards arrow on top close parentheses end cell row blank equals cell 2 open vertical bar a with rightwards arrow on top close vertical bar squared minus 2 a with rightwards arrow on top. b with rightwards arrow on top plus a with rightwards arrow on top. b with rightwards arrow on top minus open vertical bar b with rightwards arrow on top close vertical bar squared end cell row blank equals cell 2 open vertical bar a with rightwards arrow on top close vertical bar squared minus a with rightwards arrow on top. b with rightwards arrow on top minus open vertical bar b with rightwards arrow on top close vertical bar squared end cell row blank equals cell 2 open parentheses square root of 3 squared plus 2 squared end root close parentheses squared minus open parentheses 3 cross times 2 plus 2 cross times left parenthesis negative 1 right parenthesis close parentheses minus open parentheses square root of 2 squared plus left parenthesis negative 1 right parenthesis squared end root close parentheses squared end cell row blank equals cell 2 left parenthesis 13 right parenthesis minus 4 minus 5 end cell row blank equals cell 26 minus 4 minus 5 end cell row blank equals 17 end table 

Jadi, hasil open parentheses 2 a with rightwards arrow on top plus b with rightwards arrow on top close parentheses. open parentheses a with rightwards arrow on top minus b with rightwards arrow on top close parentheses adalah 17 

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