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Diketahui vektor a=3i−2j​+k,  b=2i−3k,​ dan c=j​−2k. Vektor yang mewakili 2a−3b+c adalah...

Pertanyaan

Diketahui vektor begin mathsize 14px style a with rightwards arrow on top equals 3 i with hat on top minus 2 j with hat on top plus k with hat on top comma space space b with rightwards arrow on top equals 2 i with hat on top minus 3 stack k comma with hat on top end style dan begin mathsize 14px style c with rightwards arrow on top equals j with hat on top minus 2 k with hat on top. end style Vektor yang mewakili begin mathsize 14px style 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top plus c with rightwards arrow on top end style adalah...undefined 

  1. begin mathsize 14px style 12 i with hat on top minus 5 j with hat on top plus 12 k with hat on top end style 

  2. begin mathsize 14px style negative 3 j with hat on top plus 9 k with hat on top end style 

  3. begin mathsize 14px style negative 7 j with hat on top minus 9 k with hat on top end style 

  4. begin mathsize 14px style negative 3 i with hat on top minus 3 j with hat on top plus 9 k with hat on top end style 

  5. begin mathsize 14px style 3 i with hat on top minus j with hat on top plus 9 k with hat on top end style  

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B. undefined 

Pembahasan

Ingat kembali konsep penjumlahan, pengurangan, serta perkalian vektor dengan skalar.

Perhatikan penghitungan berikut!

begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 3 row cell negative 2 end cell row 1 end table close parentheses space semicolon space b with rightwards arrow on top equals open parentheses table row 2 row 0 row cell negative 3 end cell end table close parentheses space semicolon space c with rightwards arrow on top equals open parentheses table row 0 row 1 row cell negative 2 end cell end table close parentheses 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top plus c with rightwards arrow on top equals 2 open parentheses table row 3 row cell negative 2 end cell row 1 end table close parentheses minus 3 open parentheses table row 2 row 0 row cell negative 3 end cell end table close parentheses plus open parentheses table row 0 row 1 row cell negative 2 end cell end table close parentheses equals open parentheses table row 6 row cell negative 4 end cell row 2 end table close parentheses minus open parentheses table row 6 row 0 row cell negative 9 end cell end table close parentheses plus open parentheses table row 0 row 1 row cell negative 2 end cell end table close parentheses equals open parentheses table row cell 6 minus 6 plus 0 end cell row cell negative 4 minus 0 plus 1 end cell row cell 2 minus left parenthesis negative 9 right parenthesis minus 2 end cell end table close parentheses equals open parentheses table row 0 row cell negative 3 end cell row 9 end table close parentheses equals negative 3 j with hat on top plus 9 k with hat on top end style 

Oleh karena itu, jawaban yang benar adalah B. undefined 

3rb+

5.0 (3 rating)

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Diketahui vektor u=3i−j​+2k, v=i+4j​−3k, dan w=5i+2j​+k. Hasil dari 2u+v−w adalah ....

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Jawaban terverifikasi

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