Matematika

Pertanyaan

Tolong dibantu nomer 8,10 dan 11 nya
Tolong dibantu nomer 8,10 dan 11 nya

1 Jawaban

  • 8) g = BA = a - b = (2,4,-2) - (4,1,-1) = (-2,3,-1)
    => |AB| = √((-2)^2 + 3^2 + (-1)^2) = √(4 + 9 + 1) = √14

    h = CD = d - c = (8,2,-1) - (7,0,2) = (1,2,-3)
    => |CD| = √(1^2 + 2^2 + (-3)^2) = √(1 + 4 + 9) = √14
    Sudut antara g dan h = ¢
    Cos ¢ = (BA.CD)/|BA|.|CD| = (-2(1) + 3(2) + (-1)(-3)) / √14√14 = 7/14 = 1/2
    Cos ¢ = cos 60°
    ¢ = 60°