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Vektor satuan dari vektor PQ ​ = ( 6 , 8 ) adalah ....

Vektor satuan dari vektor  adalah ....

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Pembahasan

Panjang vektor: Vektor satuan:

Panjang vektor:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar PQ with rightwards arrow on top close vertical bar end cell equals cell square root of 6 squared plus 8 squared end root end cell row blank equals cell square root of 36 plus 64 end root end cell row blank equals cell square root of 100 end cell row blank equals 10 end table end style 

Vektor satuan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell e with rightwards arrow on top end cell equals cell fraction numerator PQ with rightwards arrow on top over denominator open vertical bar PQ with rightwards arrow on top close vertical bar end fraction end cell row blank equals cell fraction numerator 6 i with rightwards arrow on top plus 8 j with rightwards arrow on top over denominator 10 end fraction end cell row blank equals cell 3 over 5 i with rightwards arrow on top plus 4 over 5 j with rightwards arrow on top end cell end table end style 

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Misalkan P = 8 i + 15 j ​ . a. Carilah ∣ ∣ ​ P ∣ ∣ ​ b. Tunjukkan bahwa ∣ ∣ ​ P ∣ ∣ ​ P ​ adalah vektor satuan.

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