Roboguru

Diketahui vektor  dan . Jika  maka nilai dari  ada...

Diketahui vektor begin mathsize 14px style a with rightwards arrow on top equals i with hat on top plus 2 j with hat on top minus x k with hat on top comma space b with rightwards arrow on top equals 3 i with hat on top minus 2 j plus k with hat on top comma end style dan size 14px c with size 14px rightwards arrow on top size 14px equals size 14px 2 size 14px i with size 14px hat on top size 14px plus size 14px j with size 14px hat on top size 14px plus size 14px 2 size 14px k with size 14px hat on top. Jika begin mathsize 14px style a with rightwards arrow on top perpendicular c with rightwards arrow on top end style maka nilai dari begin mathsize 14px style open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses end style adalah...

Jawaban:

Diketahui undefined, maka nilai x yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times c with rightwards arrow on top end cell equals 0 row cell open parentheses 1 comma 2 comma negative x close parentheses times open parentheses 2 comma 1 comma 2 close parentheses end cell equals 0 row cell 2 plus 2 minus 2 x end cell equals 0 row cell 4 minus 2 x end cell equals 0 row cell 2 x end cell equals 4 row x equals 2 end table end style 

selanjutnya akan dicari open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses :  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top plus b with rightwards arrow on top end cell equals cell open parentheses 1 comma 2 comma negative 2 close parentheses plus open parentheses 3 comma negative 2 comma 1 close parentheses equals open parentheses 4 comma 0 comma negative 1 close parentheses end cell row cell a with rightwards arrow on top minus c with rightwards arrow on top end cell equals cell open parentheses 1 comma 2 comma negative 2 close parentheses minus open parentheses 2 comma 1 comma 2 close parentheses equals open parentheses negative 1 comma 1 comma negative 4 close parentheses end cell row cell open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses end cell equals cell open parentheses 4 comma 0 comma negative 1 close parentheses times open parentheses negative 1 comma 1 comma negative 4 close parentheses end cell row blank equals cell negative 4 plus 0 plus 4 end cell row blank equals 0 row blank blank blank end table end style 

jadi,nilai dari  open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses adalah 0

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