Matematika

Pertanyaan

Tolong ya 1-3 beserta caranya please dikumpul sebentarr
Mohon bantuannya kakak kakak sekalian
Tolong ya 1-3 beserta caranya please dikumpul sebentarr Mohon bantuannya kakak kakak sekalian

1 Jawaban

  • jawab
    1.
    a = (3 , √3)
    |a| = √(3²+ (√3)²) = √(9+3)= √12 = 2√3
    tan a = √3/3 = tan 60
    a = 60°

    b= (-10, 6)
    |b| = √ ((-10)² + 6²) = √136 = 3√14
    tan b = 6/-10 = - 3/5 =  - tan 31
    b = 180 - 31 = 149°

    c =(4√3, -4)
    |c| = √{(4√3)² +(-4)²} = √(48 +16) = 8
    tan c = -4/4√3 = - 1/3 √3 = - tan 60
    c = 360 - 60= 300

    2) A = (4,7), B = (16,2)
    AB = b - a = (16-4),(2-7) = (12, -5)
    |AB| = √(12² +(-5)²)= √169 = 13
    tan (AB) = - 5/12 = - tan 22,62
    <AB = 360 - 22,62= 337,38

    3) a(2,1, -2) , b (1,2,-2)
    cos (ab) = { 2(1) + 2(-2)  -2(-2)} / (√2²+1²+(-2)² + 1²+2²+(-2)²)
    cos (ab) = ( 2-4+4)/ (√(4+1+4+1+4+4)
    cos (ab)= 2/√18 = 2 (3√2) / 18= 1/3 √2 = cos 62
    <ab = 62