Perhatikan soal berikut! Diketahui bahwa a=⎣⎡​12−3​⎦⎤​, b=⎣⎡​44m​⎦⎤​, dan c=⎣⎡​3−45​⎦⎤​. Jika a⊥b, maka hasil dari a+2b−c= …

Pertanyaan

Perhatikan soal berikut!

Diketahui bahwa a with rightwards arrow on top equals open square brackets table row 1 row 2 row cell negative 3 end cell end table close square bracketsb with rightwards arrow on top equals open square brackets table row 4 row 4 row m end table close square brackets, dan c with rightwards arrow on top equals open square brackets table row 3 row cell negative 4 end cell row 5 end table close square brackets. Jika a with rightwards arrow on top perpendicular b with rightwards arrow on top, maka hasil dari a with rightwards arrow on top plus 2 b with rightwards arrow on top minus c with rightwards arrow on top equals space horizontal ellipsis 

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

hasil dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row 6 row 14 row 0 end table close square brackets end cell end table 

Pembahasan

Jika a with rightwards arrow on top perpendicular b with rightwards arrow on top, maka nilai m dapat ditentukan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times b with rightwards arrow on top end cell equals cell open vertical bar a close vertical bar times open vertical bar b close vertical bar times cos space 90 degree end cell row cell a with rightwards arrow on top times b with rightwards arrow on top end cell equals 0 row cell open square brackets table row 1 row 2 row cell negative 3 end cell end table close square brackets times open square brackets table row 4 row 4 row m end table close square brackets end cell equals 0 row cell 1 times 4 plus 2 times 4 plus open parentheses negative 3 close parentheses m end cell equals 0 row cell 12 minus 3 m end cell equals 0 row cell negative 3 m end cell equals cell negative 12 end cell row m equals 4 end table

Vektor b with rightwards arrow on top equals open square brackets table row 4 row 4 row 4 end table close square brackets sehingga hasil dari a with rightwards arrow on top plus 2 b with rightwards arrow on top minus c with rightwards arrow on top dapat ditentukan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top plus 2 b with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open square brackets table row 1 row 2 row cell negative 3 end cell end table close square brackets plus 2 open square brackets table row 4 row 4 row 4 end table close square brackets minus open square brackets table row 3 row cell negative 4 end cell row 5 end table close square brackets end cell row blank equals cell open square brackets table row 1 row 2 row cell negative 3 end cell end table close square brackets plus open square brackets table row 8 row 8 row 8 end table close square brackets minus open square brackets table row 3 row cell negative 4 end cell row 5 end table close square brackets end cell row blank equals cell open square brackets table row 6 row 14 row 0 end table close square brackets end cell end table

Dengan demikian, hasil dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row 6 row 14 row 0 end table close square brackets end cell end table 

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Siska Julianti

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