Jika a=2i-j+3k, b=-4i+2j-6k, Tentukan |a + b|
Matematika
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Pertanyaan
Jika a=2i-j+3k, b=-4i+2j-6k, Tentukan |a + b|
2 Jawaban
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1. Jawaban Sutr1sn0
a = (2 , -1 , 3)
b = (-4 , 2 , -6)
a + b = (2 , -1 , 3) + (-4 , 2 , -6)
a + b = (-2 , 1 , -3)
|a + b|^2 = (-2 , 1 , -3)^2
|a + b|^2 = (-2)^2 + 1^2 + (-3)^2
|a + b|^2 = 4 + 1 + 9
|a + b|^2 = 14
|a + b| = akar 14 -
2. Jawaban arsetpopeye
a + b = (2i - j + 3k) + (-4i + 2j - 6k) = -2i + j - 3k
|a + b| = √((-2)^2 + 1^2 + (-3)^2) = √(4 + 1 + 9) = √14