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a = ( 3 , − 2 ) , b = ( 2 , − 4 ) , c = ( − 1 , 2 ) maka 2 a − 3 b − 5 c = ...

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

hasil pengurangan tigavektor adalah .

hasil pengurangan tiga vektor 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 5 c with rightwards arrow on top adalah open parentheses 5 comma negative 2 close parentheses.

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Pembahasan

Diketahui: Hasil dari : Jadi, hasil pengurangan tigavektor adalah .

Diketahui:

a with rightwards arrow on top equals open parentheses 3 comma negative 2 close parentheses b with rightwards arrow on top equals open parentheses 2 comma negative 4 close parentheses c with rightwards arrow on top equals open parentheses negative 1 comma 2 close parentheses 

Hasil dari 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 5 c with rightwards arrow on top:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 5 c with rightwards arrow on top end cell equals cell 2 open parentheses 3 comma negative 2 close parentheses minus 3 open parentheses 2 comma negative 4 close parentheses minus 5 open parentheses negative 1 comma 2 close parentheses end cell row blank equals cell open parentheses 6 comma negative 4 close parentheses minus open parentheses 6 comma negative 12 close parentheses minus open parentheses negative 5 comma 10 close parentheses end cell row blank equals cell open parentheses 6 minus 6 minus open parentheses negative 5 close parentheses comma negative 4 minus open parentheses negative 12 close parentheses minus 10 close parentheses end cell row blank equals cell open parentheses 5 comma negative 2 close parentheses end cell end table   

Jadi, hasil pengurangan tiga vektor 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 5 c with rightwards arrow on top adalah open parentheses 5 comma negative 2 close parentheses.

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Diketahui titik A ( 2 , 3 , − 1 ) , titik B ( − 2 , − 4 , 3 ) , dan vektor p ​ = 4 i − 3 j ​ + k . b.Tentukan proyeksi vektorortogonal vektor p ​ pada arah AB .

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