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Pertanyaan

Diketahui: a = i + j ​ , b = 2 i − 3 j ​ + k dan c = 4 j ​ + 3 k Tentukan a × b !

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Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

.

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight b 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 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight i 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 straight j 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 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight k end table

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Pembahasan

Diketahui : Sehingga, dengan menggunakan konsep cross product pada vektor: Jadi, .

Diketahui :

straight a with rightwards arrow on top equals straight i with rightwards arrow on top plus straight j with rightwards arrow on top comma space straight b equals 2 straight i with rightwards arrow on top minus 3 straight j with rightwards arrow on top plus stack straight k space with rightwards arrow on top dan stack space straight c with rightwards arrow on top equals 4 straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on top

Sehingga, dengan menggunakan konsep cross product pada vektor:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top cross times straight b with rightwards arrow on top end cell equals cell open vertical bar table row straight i straight j straight k row 1 1 0 row 2 cell negative 3 end cell 1 end table close vertical bar end cell row blank equals cell open vertical bar table row 1 0 row cell negative 3 end cell 1 end table close vertical bar straight i plus open vertical bar table row 0 1 row 1 2 end table close vertical bar straight j plus open vertical bar table row 1 1 row 2 cell negative 3 end cell end table close vertical bar straight k end cell row cell straight a with rightwards arrow on top cross times straight b with rightwards arrow on top end cell equals cell 4 straight i minus straight j minus 5 straight k end cell end table

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight b 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 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight i 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 straight j 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 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight k end table

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Justiana Ana

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