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Diberikan titik-titik A ( 1 , 3 ) , B ( 2 , 5 ) , C ( − 1 , 2 ) . Ruas garis berarah A B dan BC berturut-turut mewakili vektor u dan v . Maka nilai dari ( u + v ) ⋅ u = ...

Diberikan titik-titik . Ruas garis berarah berturut-turut mewakili vektor . Maka nilai dari  

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Diketahui , Jadi, nilai .

Diketahui begin mathsize 14px style A left parenthesis 1 comma 3 right parenthesis comma space B left parenthesis 2 comma 5 right parenthesis comma space C left parenthesis negative 1 comma 2 right parenthesis end style,

begin mathsize 14px style u with rightwards arrow on top equals stack A B with rightwards arrow on top equals B minus A equals open parentheses table row 2 row 5 end table close parentheses minus open parentheses table row 1 row 3 end table close parentheses equals open parentheses table row 1 row 2 end table close parentheses v with rightwards arrow on top equals stack B C with rightwards arrow on top equals C minus B equals open parentheses table row cell negative 1 end cell row 2 end table close parentheses minus open parentheses table row 2 row 5 end table close parentheses equals open parentheses table row cell negative 3 end cell row cell negative 3 end cell end table close parentheses end style

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

Jadi, nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell size 14px left parenthesis size 14px u with size 14px rightwards arrow on top size 14px plus size 14px v with size 14px rightwards arrow on top size 14px right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell size 14px u with size 14px rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 4 end table.

 

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