Matematika

Pertanyaan

Diketahui vektor p= 3i+2k, q=i-2j+3k, r=4i+3j-k. Tentukan nilai
a. 2p x 3r
b. (p x r) x q
c. (3p x r) x q

Jawab dg serius dan usahakan benar ya.., jangan diawur/ dikarang kalo ngawur/ dikarang / yg lain nanti aku laporkan kesalahanmu

1 Jawaban

  • p = 3i+2k
    p = ( 3 2 )

    q = i-2j+3k
    q = ( 1 -2 3 )

    r = 4i+3j-k
    r = ( 4 3 -1 )

    Nilai:
    a. 2p x 3r
    = 2( 3 2 ) × 3( 4 3 -1 )
    = ( 6 4 ) × ( 12 9 -3 )
    = ( 72 36 0 )
    b. (p x r) x q
    = ((3 2)(4 3 -1) × (1 -2 3)
    = ( 12 6 0) × (1 -2 3)
    = (12 -12 0)
    c. (3p x r) x q
    = (3(3 2) × (4 3 -1) × (1 -2 3)
    = ((6 6) × (4 3 -1) × (1 -2 3)
    = (24 -36 0)

    Semoga membantu

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