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Jika p ​ = 2 a + 2 b , q ​ = 3 a − 4 b , dan r = − 2 p ​ + 3 q ​ maka p ​ + q ​ − r = ...

Jika , , dan maka

  1. begin mathsize 14px style 12 a with rightwards arrow on top minus 2 b with rightwards arrow on top end style

  2. begin mathsize 14px style 12 a with rightwards arrow on top plus 14 b with rightwards arrow on top end style

  3. begin mathsize 14px style 12 a with rightwards arrow on top end style

  4. begin mathsize 14px style negative 2 b with rightwards arrow on top end style

  5. begin mathsize 14px style 14 b with rightwards arrow on top end style

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begin mathsize 14px style p with rightwards arrow on top plus q with rightwards arrow on top minus r with rightwards arrow on top equals p with rightwards arrow on top plus q with rightwards arrow on top minus open parentheses negative 2 p with rightwards arrow on top plus 3 q with rightwards arrow on top close parentheses equals p with rightwards arrow on top plus q with rightwards arrow on top plus 2 p with rightwards arrow on top minus 3 q with rightwards arrow on top equals p with rightwards arrow on top plus 2 p with rightwards arrow on top plus q with rightwards arrow on top minus 3 q with rightwards arrow on top equals open parentheses 1 plus 2 close parentheses p with rightwards arrow on top plus open parentheses 1 minus 3 close parentheses q with rightwards arrow on top equals 3 p with rightwards arrow on top plus open parentheses negative 2 close parentheses q with rightwards arrow on top equals 3 p with rightwards arrow on top minus 2 q with rightwards arrow on top end style 

Sehingga

begin mathsize 14px style p with rightwards arrow on top plus q with rightwards arrow on top minus r with rightwards arrow on top equals 3 p with rightwards arrow on top minus 2 q with rightwards arrow on top equals 3 open parentheses 2 a with rightwards arrow on top plus 2 b with rightwards arrow on top close parentheses minus 2 open parentheses 3 a with rightwards arrow on top minus 4 b with rightwards arrow on top close parentheses equals 3 open parentheses 2 a with rightwards arrow on top close parentheses plus 3 open parentheses 2 b with rightwards arrow on top close parentheses minus 2 open parentheses 3 a with rightwards arrow on top close parentheses plus 2 open parentheses 4 b with rightwards arrow on top close parentheses equals 6 a with rightwards arrow on top plus 6 b with rightwards arrow on top minus 6 a with rightwards arrow on top plus 8 b with rightwards arrow on top equals 6 a with rightwards arrow on top minus 6 a with rightwards arrow on top plus 6 b with rightwards arrow on top plus 8 b with rightwards arrow on top equals open parentheses 6 minus 6 close parentheses a with rightwards arrow on top plus open parentheses 6 plus 8 close parentheses b with rightwards arrow on top equals 0 with rightwards arrow on top plus 14 b with rightwards arrow on top equals 14 b with rightwards arrow on top end style 

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Diketahui P adalah titik berat ΔABC dan D adalah titik tengah BC. Jika B A = p ​ dan BC = q ​ maka P D = ....

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