Matematika

Pertanyaan

1. Diketahui p = ( 1 , -3 , -1 )
q = ( 2 , 3 , 1 )
r = ( 5 , -3 , 1 )
jika a = 3p + 2q -r , maka | a | =................................


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2 Jawaban

  • 3p + 2q - r
    3(1,-3,-1) + 2(2,3,1) - (5,-3,1)
    a = (2,0,2)
    IaI = [tex] \sqrt 2^{2} + 0^{2} + 2^{2} [/tex] = [tex] \sqrt{8} [/tex]  = [tex]2 \sqrt{2} [/tex]
  • a = 3(1, -3, -1) + 2(2,3,1)-(5, -3, 1)
    = (3, -9,-3) + (4, 6, 2) - ( 5, -3, 1)
    = (2, 0, -2)
    |a| =√(4+0+4)
    = √8
    = 2√2

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