Matematika

Pertanyaan

jika panjang vektor oa =1,2 dan vektor ob=4,2 dan sudut antara vektor oa dan ob maka tan

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  • VEKTOR


    cos@ = (1,2)•(4,2)/(akar(1^2+2^2)×akar(4^2+2^2)
    cos@ = (1×4 + 2×2)/akar(1+4)×akar(16+4)
    cos@ = (4+4)/(akar5 × akar20)
    cos@ = 8/akar5×10
    cos@ = 8/akar100
    cos@ = 8/10
    cos@ = 4/5
    => SA= 4
    => MI = 5
    DE^2 = 5^2 - 4^2 = 25 -16 = 9
    DE^2 = 3^2
    DE = 3

    tan@ = DE/SA = 3/4

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