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Pertanyaan

Diketahui titik A(1,1,2), B(2,1,3), C(4,2,3) dan D(2,1,–3), hasil dari A B + BC − C D = ...

Diketahui titik A(1,1,2), B(2,1,3), C(4,2,3) dan D(2,1,–3), hasil dari ...

  1. 5 i with rightwards arrow on top plus 2 j with rightwards arrow on top plus 7 k with rightwards arrow on top

  2. 5 i with rightwards arrow on top minus 2 j with rightwards arrow on top minus 7 k with rightwards arrow on top

  3. 5 i with rightwards arrow on top minus 2 j with rightwards arrow on top plus 7 k with rightwards arrow on top

  4. 2 i with rightwards arrow on top minus 5 j with rightwards arrow on top plus 7 k with rightwards arrow on top

  5. 2 i with rightwards arrow on top plus 5 j with rightwards arrow on top plus 7 k with rightwards arrow on top

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Pembahasan

Diketahui titik A(1,1,2), B(2,1,3), C(4,2,3) dan D(2,1,–3), maka:

Diketahui titik A(1,1,2), B(2,1,3), C(4,2,3) dan D(2,1,–3), maka:

begin mathsize 12px style stack A B with rightwards arrow on top equals B minus A equals open parentheses table row 2 row 1 row 3 end table close parentheses minus open parentheses table row 1 row 1 row 2 end table close parentheses equals open parentheses table row 1 row 0 row 1 end table close parentheses end style

begin mathsize 12px style stack B C with rightwards arrow on top equals C minus B equals open parentheses table row 4 row 2 row 3 end table close parentheses minus open parentheses table row 2 row 1 row 3 end table close parentheses equals open parentheses table row 2 row 1 row 0 end table close parentheses end style

begin mathsize 12px style stack C D with rightwards arrow on top equals D minus C equals open parentheses table row 2 row 1 row cell negative 3 end cell end table close parentheses minus open parentheses table row 4 row 2 row 3 end table close parentheses equals open parentheses table row cell negative 2 end cell row cell negative 1 end cell row cell negative 6 end cell end table close parentheses end style

 

begin mathsize 12px style stack A B with rightwards arrow on top plus stack B C with rightwards arrow on top minus stack C D with rightwards arrow on top equals open parentheses table row 1 row 0 row 1 end table close parentheses plus open parentheses table row 2 row 1 row 0 end table close parentheses minus open parentheses table row cell negative 2 end cell row cell negative 1 end cell row cell negative 6 end cell end table close parentheses equals open parentheses table row 5 row 2 row 7 end table close parentheses equals 5 i with rightwards arrow on top plus 2 j with rightwards arrow on top plus 7 k with rightwards arrow on top end style

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Diketahui vektor u = 3 i − 2 j ​ + 5 k , v = 3 i − j ​ + 2 k , dan w = i − 2 j ​ + k maka hasil dari u − v + w = ....

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