Matematika

Pertanyaan

diketahui vektor p(-1,2) dan q(2,5), tentukan vektor t jika |p-t| = |q-t|

1 Jawaban

  • p-t = [-1 - x, 2-y]
    q-t = [2-x, 5-y]
    |p-t| = |q-t|
    |-1 - x, 2-y| = |2-x, 5-y|
    √(-1 - x)²+ (2-y)² = √(2-x)² + (5-y)² (kedua akar bisa dihilangkan)
    (-1 - x)²+ (2-y)² =(2-x)² + (5-y)²
    1+2x+x² + 4-4y+ y² = 4-4x+ x² + 25-10y+y²
    1+2x+x² + 4-4y+ y²- 4+4x-x² - 25+10y-y²
    -24 + 6x + 6y = 0
    6x + 6y = 24
    x + y = 4
    X = 2, Y = 2
    Vektor t = [2,2]

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