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Diketahui a ⇀ = 2 i ⇀ − j ⇀ ​ + 3 k ⇀ , b ⇀ = − i ⇀ + 2 j ⇀ ​ + 3 k ⇀ dan c ⇀ = − i ⇀ + 5 j ⇀ ​ + 6 k ⇀ . Jika berlaku hubungan 3 x ⇀ = 2 b ⇀ − 3 a ⇀ + c ⇀ maka vektor x ⇀ adalah ....

Diketahui  dan . Jika berlaku hubungan  maka vektor  adalah ....

  1. begin mathsize 14px style 3 i with rightwards harpoon with barb upwards on top minus 2 j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top end style 

  2. begin mathsize 14px style 2 i with rightwards harpoon with barb upwards on top plus 3 j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top end style 

  3. begin mathsize 14px style 2 i with rightwards harpoon with barb upwards on top minus j with rightwards harpoon with barb upwards on top minus 3 k with rightwards harpoon with barb upwards on top end style 

  4. begin mathsize 14px style negative 3 i with rightwards harpoon with barb upwards on top plus 4 j with rightwards harpoon with barb upwards on top plus k with rightwards harpoon with barb upwards on top end style 

  5. begin mathsize 14px style 5 i with rightwards harpoon with barb upwards on top minus 3 j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top end style 

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D. Kusumawardhani

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

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Pembahasan

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Diketahui a ⇀ = 2 i ⇀ − j ⇀ ​ + 3 k ⇀ b ⇀ = − i ⇀ + 2 j ⇀ ​ + 3 k ⇀ , maka: Jadi, jawaban yang benar adalah D.

Diketahui 

 

 

begin mathsize 14px style c with rightwards harpoon with barb upwards on top equals negative i with rightwards harpoon with barb upwards on top plus 5 j with rightwards harpoon with barb upwards on top plus 6 k with rightwards harpoon with barb upwards on top end style, maka:


begin mathsize 14px style 3 x with rightwards arrow on top equals 2 b with rightwards arrow on top minus 3 a with rightwards arrow on top plus c with rightwards arrow on top 3 x with rightwards arrow on top equals 2 open parentheses table row cell negative 1 end cell row 2 row 3 end table close parentheses minus 3 open parentheses table row 2 row cell negative 1 end cell row 3 end table close parentheses plus open parentheses table row cell negative 1 end cell row 5 row 6 end table close parentheses 3 x with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row 4 row 6 end table close parentheses minus open parentheses table row 6 row cell negative 3 end cell row 9 end table close parentheses plus open parentheses table row cell negative 1 end cell row 5 row 6 end table close parentheses 3 x with rightwards arrow on top equals open parentheses table row cell negative 9 end cell row 12 row 3 end table close parentheses space space x with rightwards arrow on top equals 1 third open parentheses table row cell negative 9 end cell row 12 row 3 end table close parentheses stack space space x with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row 4 row 1 end table close parentheses space space x with rightwards arrow on top equals negative 3 i with rightwards arrow on top plus 4 j with rightwards arrow on top plus k with rightwards arrow on top end style 

Jadi, jawaban yang benar adalah D.

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Tentukan nilai x , y , dan z dari persamaan − 2 ⎝ ⎛ ​ x 4 y ​ ⎠ ⎞ ​ − ⎝ ⎛ ​ 2 z 2 x ​ ⎠ ⎞ ​ = 5 ⎝ ⎛ ​ z − 5 2 x ​ ⎠ ⎞ ​ + 3 ⎝ ⎛ ​ − 3 4 − y ​ ⎠ ⎞ ​ .

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