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Diketahui koordinat titik U(−1,1), T(−4,2), dan V(8,−2). Jika TV=k UT, maka nilai kadalah ...

Pertanyaan

Diketahui koordinat titik begin mathsize 14px style U left parenthesis negative 1 comma 1 right parenthesis end style, begin mathsize 14px style T left parenthesis negative 4 comma 2 right parenthesis end style, dan begin mathsize 14px style V left parenthesis 8 comma negative 2 right parenthesis end style. Jika begin mathsize 14px style stack T V with rightwards arrow on top equals k space stack U T with rightwards arrow on top end style, maka nilai undefinedadalah undefined 

R. Risda

Master Teacher

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style k equals negative 4 end style.

Pembahasan

Diketahui :

koordinat titik :
begin mathsize 14px style U left parenthesis negative 1 comma 1 right parenthesis end style

begin mathsize 14px style T left parenthesis negative 4 comma 2 right parenthesis end style

begin mathsize 14px style V left parenthesis 8 comma negative 2 right parenthesis end style

begin mathsize 14px style stack T V with rightwards arrow on top equals k space stack U T with rightwards arrow on top end style 

Ditanya :

nilai undefinedadalah ?

Jawab :

#Cari begin mathsize 14px style stack T V with rightwards arrow on top end style 

begin mathsize 14px style stack T V with rightwards arrow on top equals V minus T stack T V with rightwards arrow on top equals open square brackets table row 8 row cell negative 2 end cell end table close square brackets minus open square brackets table row cell negative 4 end cell row 2 end table close square brackets stack T V with rightwards arrow on top equals open square brackets table row cell 8 minus open parentheses negative 4 close parentheses end cell row cell negative 2 minus 2 end cell end table close square brackets stack bold T bold V with bold rightwards arrow on top equals open square brackets table row 12 row cell negative 4 end cell end table close square brackets end style 

#cari begin mathsize 14px style stack U T with rightwards arrow on top end style 

begin mathsize 14px style stack U T with rightwards arrow on top equals T minus U stack T V with rightwards arrow on top equals open square brackets table row cell negative 4 end cell row 2 end table close square brackets minus open square brackets table row cell negative 1 end cell row 1 end table close square brackets stack T V with rightwards arrow on top equals open square brackets table row cell negative 4 minus open parentheses negative 1 close parentheses end cell row cell 2 minus 1 end cell end table close square brackets bold TV with bold rightwards arrow on top equals open square brackets table row cell negative 3 end cell row 1 end table close square brackets end style 

#CARI begin mathsize 14px style stack T V with rightwards arrow on top equals k space stack U T with rightwards arrow on top end style :

begin mathsize 14px style stack T V with rightwards arrow on top equals k space stack U T with rightwards arrow on top open square brackets table row 12 row cell negative 4 end cell end table close square brackets equals k space open square brackets table row cell negative 3 end cell row 1 end table close square brackets k equals open square brackets table row cell 12 divided by open parentheses negative 3 close parentheses end cell row cell negative 4 divided by open parentheses 1 close parentheses end cell end table close square brackets space k equals open square brackets table row cell negative 4 end cell row cell negative 4 end cell end table close square brackets space k equals negative 4 end style 

Jadi, nilai begin mathsize 14px style k equals negative 4 end style.

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