Matematika

Pertanyaan

diketahui u=(3,7,1).v=(4,-2,-6)dan w=(6,-1,-1)panjang vektor v+3v-2w adalah a.6 akar 3 b.9 akar 3 c.10 akar 3 d 12 akar 2 e.akar 3 pleace jawab

1 Jawaban

  • Dik:
    • u = (3, 7, 1)
    • v = (-4, -2, -6)
    • w = (6, -1, -1)
    Dit: panjang vektor u + 3v -2w
    Mis: u + 3v - 2w = a
    a = (3,7,1) + 3(4,-2,-6) - 2(6,-1,-1)
    = (3,7,1) + (12,-6,-18) - (12,-2,-2)
    = (3,3,-15)
    |a| = √3² +3² + (-15)²
    |a| = √9 + 9 + 225
    |a| = √243 = √81 x √3
    |a| = 9√3
    Jwaban: B

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