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

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PERTANYAAN :

Diketahui begin mathsize 14px style a with rightwards harpoon with barb upwards on top equals 2 i with rightwards harpoon with barb upwards on top minus j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top comma space b with rightwards harpoon with barb upwards on top equals negative i with rightwards harpoon with barb upwards on top plus 2 j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top end style dan 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. Jika berlaku hubungan begin mathsize 14px style 3 x with rightwards harpoon with barb upwards on top equals 2 b with rightwards harpoon with barb upwards on top minus 3 a with rightwards harpoon with barb upwards on top plus c with rightwards harpoon with barb upwards on top end style maka vektor begin mathsize 14px style x with rightwards harpoon with barb upwards on top end style adalah ….

Jawaban

jawaban yang benar adalah D.


Diketahui 

a with rightwards harpoon with barb upwards on top equals 2 i with rightwards harpoon with barb upwards on top minus j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top 

b with rightwards harpoon with barb upwards on top equals negative i with rightwards harpoon with barb upwards on top plus 2 j with rightwards harpoon with barb upwards on top plus 3 k with rightwards harpoon with barb upwards on top 

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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