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Diketahui vektor:   Jika nilai , tentukan nilai m!

Pertanyaan

Diketahui vektor:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top end cell equals cell i with rightwards arrow on top plus 2 j with rightwards arrow on top plus m k with rightwards arrow on top end cell row cell b with rightwards arrow on top end cell equals cell 2 i with rightwards arrow on top minus 10 j with rightwards arrow on top plus 2 k with rightwards arrow on top end cell end table 

Jika nilai a with rightwards arrow on top times b with rightwards arrow on top equals 0, tentukan nilai m!

Pembahasan Soal:

Dengan menerapkan operasi perkalian vektor dot product, diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times b with rightwards arrow on top end cell equals 0 row cell open parentheses 1 close parentheses open parentheses 2 close parentheses plus open parentheses 2 close parentheses open parentheses negative 10 close parentheses plus open parentheses m close parentheses open parentheses 2 close parentheses end cell equals 0 row cell 2 plus open parentheses negative 20 close parentheses plus 2 m end cell equals 0 row cell negative 18 plus 2 m end cell equals 0 row cell 2 m end cell equals 18 row m equals 9 end table 

Jadi, nilai m adalah 9.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 27 April 2021

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