Matematika

Pertanyaan

diketahui vektor u= (2,5,-8) dan v=(0,-3,4) .jika vektor w=3u+5v hasil u-3v-2w=....

2 Jawaban

  • w = 3u + 5v
    = 3(2 , 5 , -8 ) + 5( 0 , -3 , 4 )
    = ( 6 , 15 , -24 ) + ( 0 , -15 , 20 )
    = ( 6 , 0 , -4 )

    u - 3v - 2w
    = (2 , 5 , -8 ) - 3( 0 , -3 , 4 ) - 2( 6 , 0 , -4 )
    = ( 2 , 5 , -8 ) - ( 0 , -9 , 12 ) - ( 12 , 0 , -8 )
    = ( -10 , 14 , -12 )
  • w = 3u + 5v
    w = 3(2,5,-8) + 5(0,-3,4)
    w = (6,15,-24) + (0,-15,20)
    w = (6,0,-4)

    Hasil u - 3v - 2w
    = (2,5,-8) - 3(0,-3,4) - 2(6,0,-4)
    = (2,5,-8) - (0,-9,12) - (12,0,-8)
    = (-10,14,-12)

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