diketahui vektor a = -2-8j+6k vektor b = 5i+4j-5k dan vektor c = 3i+4j-2k jika 5d+3a+2b= 2c+3d-2b vektor d =
Matematika
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Pertanyaan
diketahui vektor a = -2-8j+6k vektor b = 5i+4j-5k dan vektor c = 3i+4j-2k jika 5d+3a+2b= 2c+3d-2b vektor d =
1 Jawaban
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1. Jawaban ErikCatosLawijaya
Mapel : Matematika
Kelas : X SMA
Bab : Vektor
Pembahasan :
5d + 3a + 2b = 2c + 3d - 2b
2d + 3[-2 -8 6] + 2[5 4 -5] = 2[3 4 -2] - 2[5 4 -5]
2d + [-6 -24 18] + [10 8 -10] = [6 8 -4] - [10 8 -10]
2d + [4 -16 8] = [-4 0 6]
2d = [-4 0 6] - [4 -16 8]
2d = [-8 16 -2]
d = [-4 8 -1] = -4i + 8j - k