Ujian Nasional

Pertanyaan

Diketahui vektor a =2i+3j-k, b=-i-4j+2k,c=-1-9j+5k jika u=a+b, v=b-c dan w= 2a +c pertanyaan yang tepat

1 Jawaban

  • u = (2i + 3j - k) + (-i - 4j + 2k)
    = (2i + (-i)) + (3j +(-4j)) + (-k + 2k)
    = i + (-j) + k
    = i - j + k

    v = (-i -4j + 2k) - (-1 -9j + 5k)
    = (-i - (-i)) - (-4j - (-9j) - (2k - 5k)
    = (5j) - 3k
    = 5j - 3k

    w = 2a + c
    = 2(2i + 3j - k) + (-i -9j + 5k)
    = (4i + 6j - 2k) + (-i -9j + 5k)
    = (4i + (-i)) + (6j + (-9j)) + (-2k + 5k)
    = (3i) + (-3j) + (3k)
    = 3i - 3j + 3k

Pertanyaan Lainnya