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Pertanyaan

Perhatikan gambar berikut. Hasil dari ED + CE − AB − BE − CD adalah ....

Perhatikan gambar berikut.

Hasil dari  adalah ....

  1. begin mathsize 14px style EA with rightwards arrow on top end style 

  2. begin mathsize 14px style EC with rightwards arrow on top end style 

  3. begin mathsize 14px style ED with rightwards arrow on top end style 

  4. begin mathsize 14px style BC with rightwards arrow on top end style 

  5. begin mathsize 14px style AD with rightwards arrow on top end style 

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Jika digambarkan, maka didapat Perhatikan bahwa posisi objek yang pada awalnya berada di titik E, berpindah ke titik A. Maka terbentuklah vektor . Sehingga

Perhatikan bahwa

begin mathsize 14px style ED with rightwards arrow on top plus CE with rightwards arrow on top minus AB with rightwards arrow on top minus BE with rightwards arrow on top minus CD with rightwards arrow on top equals ED with rightwards arrow on top minus CD with rightwards arrow on top plus CE with rightwards arrow on top minus BE with rightwards arrow on top minus AB with rightwards arrow on top equals ED with rightwards arrow on top minus open parentheses negative DC with rightwards arrow on top close parentheses plus CE with rightwards arrow on top minus open parentheses negative EB with rightwards arrow on top close parentheses minus open parentheses negative BA with rightwards arrow on top close parentheses equals ED with rightwards arrow on top plus DC with rightwards arrow on top plus CE with rightwards arrow on top plus EB with rightwards arrow on top plus BA with rightwards arrow on top end style 

Jika digambarkan, maka didapat

Perhatikan bahwa posisi objek yang pada awalnya berada di titik E, berpindah ke titik A. Maka terbentuklah vektor begin mathsize 14px style EA with rightwards arrow on top end style.

Sehingga

begin mathsize 14px style ED with rightwards arrow on top plus CE with rightwards arrow on top minus AB with rightwards arrow on top minus BE with rightwards arrow on top minus CD with rightwards arrow on top equals ED with rightwards arrow on top plus DC with rightwards arrow on top plus CE with rightwards arrow on top plus EB with rightwards arrow on top plus BA with rightwards arrow on top equals EA with rightwards arrow on top end style 

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

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