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Pertanyaan

Diberikan vektor-vektor a = 2 i + 4 j ​ + 6 k , b = − i + 2 j ​ + 4 k , maka panjang vektor pada persamaan 2 3 ​ a − 3 b + 3 1 ​ c = …

Diberikan vektor-vektor , maka panjang vektor pada persamaan

  1. 2 square root of 237

  2. square root of 237

  3. 2 square root of 233

  4. 2 square root of 57

  5. square root of 57

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

maka

3 over 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top plus 1 third c with rightwards arrow on top equals 3 over 2 open parentheses 2 i with hat on top plus 4 j with hat on top plus 6 k with hat on top close parentheses minus 3 open parentheses negative i with hat on top plus 2 j with hat on top plus 4 k with hat on top close parentheses plus 1 third open parentheses 3 i with hat on top minus 6 j with hat on top plus 15 k with hat on top close parentheses  equals 3 i with hat on top plus 6 j with hat on top plus 9 k with hat on top plus 3 i with hat on top minus 6 j with hat on top minus 12 k with hat on top plus i with hat on top minus 2 j with hat on top plus 5 k with hat on top  equals 7 i with hat on top minus 2 j with hat on top plus 2 k with hat on top

maka

open vertical bar 3 over 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top plus 1 third c with rightwards arrow on top close vertical bar equals open vertical bar 7 i with hat on top minus 2 j with hat on top plus 2 k with hat on top close vertical bar equals square root of 7 squared plus open parentheses negative 2 close parentheses squared plus 2 squared end root equals square root of 49 plus 4 plus 4 end root equals square root of 57

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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....

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