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Pertanyaan

Jika p with rightwards arrow on topq with rightwards arrow on topr with rightwards arrow on top, dan s with rightwards arrow on top merupakan vector dalam R squared dengan p with rightwards arrow on top equals open parentheses negative 9 comma space 8 close parentheses dan q with rightwards arrow on top equals open parentheses 4 comma space 5 close parenthesesr with rightwards arrow on top equals p with rightwards arrow on top plus q with rightwards arrow on top, dan s with rightwards arrow on top equals 3 r with rightwards arrow on top, nilai dari s with rightwards arrow on top adalah ....

  1. open parentheses table row cell negative 15 end cell row 39 end table close parentheses

  2. open parentheses table row cell negative 5 end cell row 13 end table close parentheses

  3. open parentheses table row 5 row 13 end table close parentheses 

  4. open parentheses table row 15 row 39 end table close parentheses

  5. open parentheses table row 25 row 39 end table close parentheses

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Gunakan konsep penjumlahan vektor dan perkalian vektor dengan skalar.

Diketahui p with rightwards arrow on top equals open parentheses negative 9 comma space 8 close parentheses dan q with rightwards arrow on top equals open parentheses 4 comma space 5 close parenthesesr with rightwards arrow on top equals p with rightwards arrow on top plus q with rightwards arrow on top, dan s with rightwards arrow on top equals 3 r with rightwards arrow on top

*Terlebih dahulu tentukan nilai r with rightwards arrow on top dengan menggunakan penjumlahan vektor secara aljabar.

table attributes columnalign right center left columnspacing 2px end attributes row cell r with rightwards arrow on top end cell equals cell p with rightwards arrow on top plus q with rightwards arrow on top end cell row blank equals cell open parentheses table row cell negative 9 end cell row 8 end table close parentheses plus open parentheses table row 4 row 5 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 9 plus 4 end cell row cell 8 plus 5 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 5 end cell row 13 end table close parentheses end cell end table

*Kemudian tentukan nilai s with rightwards arrow on top dengan menggunakan perkalian skalar dengan vektor.

table attributes columnalign right center left columnspacing 2px end attributes row cell s with rightwards arrow on top end cell equals cell 3 r with rightwards arrow on top end cell row blank equals cell 3 cross times open parentheses table row cell negative 5 end cell row 13 end table close parentheses end cell row blank equals cell open parentheses table row cell 3 cross times open parentheses negative 5 close parentheses end cell row cell 3 cross times 13 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 15 end cell row 39 end table close parentheses end cell end table

Sehingga diperoleh nilai dari s with rightwards arrow on top adalah open parentheses table row cell negative 15 end cell row 39 end table close parentheses.

Jadi, jawaban yang tepat adalah A.

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