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Diketahui vektor-vektor a = i + 2 j ​ − 3 k , b = 3 i + 5 j ​ , c = − 2 i − 4 j ​ + k ,dan vektor u = 2 a + b − c . Vektor dapat dijabarkan menjadi....

Diketahui vektor-vektor , , dan vektor . Vektor dapat dijabarkan menjadi ....

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

  2. begin mathsize 14px style 3 i with rightwards arrow on top minus 2 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

  3. begin mathsize 14px style 2 i with rightwards arrow on top minus 2 j with rightwards arrow on top end style

  4. begin mathsize 14px style 7 i with rightwards arrow on top plus 13 j with rightwards arrow on top minus 7 k with rightwards arrow on top end style

  5. begin mathsize 14px style 7 i with rightwards arrow on top minus 8 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

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Perhatikan perhitungan berikut! Dengan demikian, jawaban yang tepat adalah D.

Perhatikan perhitungan berikut!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell u with rightwards arrow on top end cell equals cell 2 a with rightwards arrow on top plus b with rightwards arrow on top minus c with rightwards arrow on top end cell row blank equals cell 2 open parentheses i with rightwards arrow on top plus 2 j with rightwards arrow on top minus 3 k with rightwards arrow on top close parentheses plus open parentheses 3 i with rightwards arrow on top plus 5 j with rightwards arrow on top close parentheses minus open parentheses negative 2 i with rightwards arrow on top minus 4 j with rightwards arrow on top plus k with rightwards arrow on top close parentheses end cell row blank equals cell 2 i with rightwards arrow on top plus 4 j with rightwards arrow on top minus 6 k with rightwards arrow on top plus 3 i with rightwards arrow on top plus 5 j with rightwards arrow on top plus 2 i with rightwards arrow on top plus 4 j with rightwards arrow on top minus k with rightwards arrow on top end cell row blank equals cell 7 i with rightwards arrow on top plus 13 j with rightwards arrow on top minus 7 k with rightwards arrow on top end cell end table end style

Dengan demikian, jawaban yang tepat adalah D.

 

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Jika vektor a = − i + j ​ + 2 k b = 3 i + j ​ + 3 k c = 2 i − j ​ + k Maka vektor a − b + c adalah ....

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