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Pertanyaan

Jika vektor a = i + 2 j + k , b = 5 i + 4 j − k dan c = 4 i − j + k , maka vektor ( a + 2 b + 3 c ) sama dengan

Jika vektor  , maka vektor  sama dengan 

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N. Puspita

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Pembahasan

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Diketahui : Ditanya : Penyelesaian .

Diketahui :

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top end cell equals cell straight i plus 2 straight j plus straight k end cell row cell straight b with rightwards arrow on top end cell equals cell 5 straight i plus 4 straight j minus straight k end cell row cell straight c with rightwards arrow on top end cell equals cell 4 straight i minus straight k plus straight k end cell end table

Ditanya :

vektor space open parentheses straight a with rightwards arrow on top plus 3 straight b with rightwards arrow on top plus 3 straight c with rightwards arrow on top close parentheses

Penyelesaian 

table attributes columnalign right center left columnspacing 0px end attributes row cell space open parentheses straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top plus 3 straight c with rightwards arrow on top close parentheses end cell equals cell open parentheses straight i with rightwards arrow on top plus 2 straight j with rightwards arrow on top plus straight k with rightwards arrow on top close parentheses plus 2 open parentheses 5 straight i with rightwards arrow on top plus 4 straight j with rightwards arrow on top minus straight k with rightwards arrow on top close parentheses plus 3 open parentheses 4 straight i with rightwards arrow on top minus straight j with rightwards arrow on top plus straight k with rightwards arrow on top close parentheses end cell row blank equals cell open parentheses straight i with rightwards arrow on top plus 2 straight j with rightwards arrow on top plus straight k with rightwards arrow on top close parentheses plus open parentheses 10 straight i with rightwards arrow on top plus 8 straight j with rightwards arrow on top minus 4 straight k with rightwards arrow on top close parentheses plus open parentheses 12 straight i with rightwards arrow on top minus 3 straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on top close parentheses end cell row blank equals cell left parenthesis 1 plus 10 plus 12 right parenthesis straight i with rightwards arrow on top plus left parenthesis 2 plus 8 minus 3 right parenthesis straight j with rightwards arrow on top plus left parenthesis 1 minus 2 plus 3 right parenthesis straight k with rightwards arrow on top end cell row blank equals cell 23 straight i with rightwards arrow on top plus 7 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top end cell end table.

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