Pertanyaan

Perhatikan gambar berikut! Pada kubus ABCD.EFGH, diketahui vektor AB = p ​ , AD = q ​ , dan AE = r . Bentuk dari vektor FD adalah ....

Perhatikan gambar berikut!

Pada kubus ABCD.EFGH, diketahui vektor  dan . Bentuk dari vektor  adalah ....

  1. begin mathsize 14px style p with rightwards arrow on top plus q with rightwards arrow on top plus r with rightwards arrow on top end style

  2. begin mathsize 14px style p with rightwards arrow on top plus q with rightwards arrow on top minus r with rightwards arrow on top end style

  3. begin mathsize 14px style p with rightwards arrow on top plus r with rightwards arrow on top minus q with rightwards arrow on top end style

  4. begin mathsize 14px style q with rightwards arrow on top minus p with rightwards arrow on top minus r with rightwards arrow on top end style

  5. begin mathsize 14px style r with rightwards arrow on top minus p with rightwards arrow on top minus q with rightwards arrow on top end style

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

jawabannya adalah D.

jawabannya adalah D. 

Pembahasan

Perhatikan bahwa Kemudian, perhatikan bahwa dan sehingga didapat perhitungan sebagai berikut. Lalu, perhatikan bahwa sehingga diperoleh hasil sebagai berikut. Jadi, jawabannya adalah D.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell FB with rightwards arrow on top end cell equals cell FB with rightwards arrow on top plus BD with rightwards arrow on top end cell row blank equals cell FB with rightwards arrow on top plus BA with rightwards arrow on top plus AD with rightwards arrow on top end cell end table end style

Kemudian, perhatikan bahwa begin mathsize 14px style FB with rightwards arrow on top equals negative BF with rightwards arrow on top end style dan begin mathsize 14px style BA with rightwards arrow on top equals negative AB with rightwards arrow on top end style sehingga didapat perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell FD with rightwards arrow on top end cell equals cell FB with rightwards arrow on top plus BA with rightwards arrow on top plus AD with rightwards arrow on top end cell row blank equals cell negative BF with rightwards arrow on top plus open parentheses negative AB with rightwards arrow on top close parentheses plus AD with rightwards arrow on top end cell row blank equals cell negative BF with rightwards arrow on top minus AB with rightwards arrow on top plus AD with rightwards arrow on top end cell end table end style 

Lalu, perhatikan bahwa begin mathsize 14px style BF with rightwards arrow on top equals AE with rightwards arrow on top end style sehingga diperoleh hasil sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell FD with rightwards arrow on top end cell equals cell negative BF with rightwards arrow on top minus AB with rightwards arrow on top plus AD with rightwards arrow on top end cell row blank equals cell negative AE with rightwards arrow on top minus AB with rightwards arrow on top plus AD with rightwards arrow on top end cell row blank equals cell negative r with rightwards arrow on top minus p with rightwards arrow on top plus q with rightwards arrow on top end cell row blank equals cell q with rightwards arrow on top minus p with rightwards arrow on top minus r with rightwards arrow on top end cell end table end style

Jadi, jawabannya adalah D. 

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