Jika u=(−32​) dan  v=(5−4​), nilai ∣∣​3u+v∣∣​ adalah ...

Pertanyaan

Jika straight u with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row 2 end table close parentheses dan space straight v with rightwards arrow on top equals open parentheses table row 5 row cell negative 4 end cell end table close parentheses, nilai open vertical bar 3 straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar adalah ...

  1. 2 square root of 5

  2. 5

  3. 4 square root of 5

  4. 5 square root of 2

  5. 10

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

pilihan jawaban yang tepat adalah A.

Pembahasan

Tentukan vektor 3 straight u with rightwards arrow on top plus straight v with rightwards arrow on top terlebih dahulu.

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 straight u with rightwards arrow on top plus straight v with rightwards arrow on top end cell equals cell 3 open parentheses table row cell negative 3 end cell row 2 end table close parentheses plus open parentheses table row 5 row cell negative 4 end cell end table close parentheses space end cell row blank equals cell open parentheses table row cell negative 9 end cell row 6 end table close parentheses plus open parentheses table row 5 row cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 end cell row 2 end table close parentheses end cell end table

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 3 straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses negative 4 close parentheses squared plus 2 squared end root end cell row blank equals cell square root of 16 plus 4 end root end cell row blank equals cell square root of 20 end cell row blank equals cell 2 square root of 5 end cell end table

Nilai open vertical bar 3 straight u with rightwards arrow on top plus straight v with rightwards arrow on top close vertical bar equals 2 square root of 5.

Jadi, pilihan jawaban yang tepat adalah A.

60

5.0 (4 rating)

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