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Pada balok A BC D . EFG H diketahui vektor D C mewakili u , E H mewakili v , dan GC mewakili w . Nyatakan hasil operasi vektor berikut dalam u , v , dan . a. A H + D F + BC

Pada balok  diketahui vektor  mewakili  mewakili , dan  mewakili . Nyatakan hasil operasi vektor berikut dalam  dan w with rightwards arrow on top.

a.  

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E. Dwi

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hasil operasi vektor dalam dan adalah .

 hasil operasi vektor top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose dalam u with rightwards arrow on top comma space v with rightwards arrow on top comma dan w with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell w with rightwards arrow on top end cell end table.

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Pembahasan

Diketahui: Sehingga hasil operasi vektor : Jadi,hasil operasi vektor dalam dan adalah .

Diketahui:

top enclose A B end enclose equals top enclose E F end enclose equals top enclose H G end enclose equals top enclose D C end enclose equals u with rightwards arrow on top top enclose B A end enclose equals top enclose F E end enclose equals top enclose G H end enclose equals top enclose C D end enclose equals negative u with rightwards arrow on top top enclose A D end enclose equals top enclose B C end enclose equals top enclose F G end enclose equals top enclose E H end enclose equals v with rightwards arrow on top top enclose D A end enclose equals top enclose C B end enclose equals top enclose G F end enclose equals top enclose H E end enclose equals negative v with rightwards arrow on top top enclose E A end enclose equals top enclose F B end enclose equals top enclose H D end enclose equals top enclose G C end enclose equals w with rightwards arrow on top top enclose A E end enclose equals top enclose B F end enclose equals top enclose D H end enclose equals top enclose C G end enclose equals negative w with rightwards arrow on top  

Sehingga hasil operasi vektor top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose:

table attributes columnalign right center left columnspacing 0px end attributes row cell top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose end cell equals cell open parentheses top enclose A D end enclose plus top enclose D H end enclose close parentheses plus open parentheses top enclose D B end enclose plus top enclose B F end enclose close parentheses plus v with rightwards arrow on top end cell row blank equals cell open parentheses v with rightwards arrow on top minus w with rightwards arrow on top close parentheses plus open parentheses open parentheses top enclose B A end enclose plus top enclose A D end enclose close parentheses minus w with rightwards arrow on top close parentheses plus v with rightwards arrow on top end cell row blank equals cell 2 v with rightwards arrow on top minus w with rightwards arrow on top plus open parentheses open parentheses negative u with rightwards arrow on top plus v with rightwards arrow on top close parentheses minus w with rightwards arrow on top close parentheses end cell row blank equals cell negative u with rightwards arrow on top plus 3 v with rightwards arrow on top minus 2 w with rightwards arrow on top end cell end table 

Jadi, hasil operasi vektor top enclose A H end enclose plus top enclose D F end enclose plus top enclose B C end enclose dalam u with rightwards arrow on top comma space v with rightwards arrow on top comma dan w with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell v with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell w with rightwards arrow on top end cell end table.

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Margaretha Yesy

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