Matematika

Pertanyaan

maka besar sudut antara a dan b adalah. . .
maka besar sudut antara a dan b adalah. . .

1 Jawaban

  • |a| = √6

    (a - b)(a + b) = 0
    |a|² + ab - ab - |b|² = 0
    |a|² - |b|² = 0
    |a|² = |b|²
    (√6)² = |b|²
    6 = |b|²
    √6 = |b|

    a(a - b) = 3
    |a|² - a • b = 3
    (√6)² - a • b = 3
    6 - 3 = a • b
    3 = a • b

    a • b = |a| × |b| × cosA
    3 = √6 × √6 × cosA
    3 = 6 cosA
    3/6 = cos A
    1/2 = cos A
    60° = A
    π/3 = A (A)