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Pertanyaan

Diketahui vektor straight u with rightwards arrow on top equals open parentheses table row cell negative 4 end cell row cell negative 2 end cell end table close parentheses dan straight v with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses. Jika table attributes columnalign right center left columnspacing 0px end attributes row cell straight w with rightwards arrow on top end cell equals cell 2 straight u with rightwards arrow on top plus 3 straight v with rightwards arrow on top end cell end table, nilai open vertical bar straight w with rightwards arrow on top close vertical bar adalah ...

  1. 0 

  2. 6 

  3. 6 square root of 2 

  4. 11 

  5. 11 square root of 2

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Berdasarkan konsep penjumlahan vektor pada dua dimensi maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight w with rightwards arrow on top end cell equals cell 2 straight u with rightwards arrow on top plus 3 straight v with rightwards arrow on top end cell row blank equals cell 2 open parentheses table row cell negative 4 end cell row cell negative 2 end cell end table close parentheses plus 3 open parentheses table row cell negative 1 end cell row 5 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 8 end cell row cell negative 4 end cell end table close parentheses plus open parentheses table row cell negative 3 end cell row 15 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 11 end cell row 11 end table close parentheses end cell end table 

sehingga nilai open vertical bar straight w with rightwards arrow on top close vertical bar adalah panjang vektor straight w with rightwards arrow on top maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell straight w with rightwards arrow on top end cell equals cell square root of open parentheses negative 11 close parentheses squared plus 11 squared end root end cell row blank equals cell square root of 121 plus 121 end root end cell row blank equals cell square root of 121 cross times 2 end root end cell row blank equals cell 11 square root of 2 end cell end table 

Oleh karena itu, jawaban yang benar adalah E.

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