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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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Jawaban terverifikasi

Pembahasan

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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