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Diketahui vektor p ​ = 5 i − 7 j ​ + 4 k pada q ​ = i − 2 j ​ + 2 k . Jika vektor r adalah proyeksi dari vektor p ​ pada q ​ , maka = ....

Diketahui vektor  pada  . Jika vektor  adalah proyeksi dari vektor  pada , maka undefined= ....

  1. begin mathsize 14px style negative 3 straight i with rightwards arrow on top minus 6 straight j with rightwards arrow on top plus 6 straight k with rightwards arrow on top end style 

  2. begin mathsize 14px style negative 3 straight i with rightwards arrow on top plus 6 straight j with rightwards arrow on top plus 6 straight k with rightwards arrow on top end style 

  3. Error converting from MathML to accessible text.

  4. begin mathsize 14px style 3 straight i with rightwards arrow on top minus 6 straight j with rightwards arrow on top minus 6 straight k with rightwards arrow on top end style 

  5. begin mathsize 14px style 3 straight i with rightwards arrow on top minus 6 straight j with rightwards arrow on top plus 6 straight k with rightwards arrow on top end style 

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A. Acfreelance

Master Teacher

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight r with rightwards arrow on top close vertical bar end cell equals cell fraction numerator straight p with rightwards arrow on top. straight q with rightwards arrow on top over denominator open vertical bar straight q with rightwards arrow on top close vertical bar squared end fraction straight q with rightwards arrow on top end cell row blank equals cell fraction numerator open parentheses 5 straight i with rightwards arrow on top minus 7 straight j with rightwards arrow on top plus 4 straight k with rightwards arrow on top close parentheses space. space open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top close parentheses over denominator open parentheses square root of 2 squared plus open parentheses negative 1 close parentheses squared plus open parentheses 2 close parentheses squared end root close parentheses squared end fraction open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top close parentheses end cell row blank equals cell fraction numerator 5 plus 14 plus 8 over denominator open parentheses square root of 9 close parentheses squared end fraction open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top close parentheses end cell row blank equals cell 27 over 9 open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top close parentheses end cell row blank equals cell 3 open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 2 straight k with rightwards arrow on top close parentheses end cell row blank equals cell 3 straight i with rightwards arrow on top minus 6 straight j with rightwards arrow on top plus 6 straight k with rightwards arrow on top end cell end table end style 

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Jika c merupakan vektor proyeksi a = 2 i − 6 j ​ + 4 k pada b = 2 i − j ​ + 2 k , maka panjang vektor adalah ....

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