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Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?

  • math - ,

    make your sketch using the parallelogram property of vectors.
    The resultant of 8 will be the diagonal of the quadrilateral with sides 3 and 8
    let the angle opposite the resultant be Ø
    by the cosine law:
    8^2 = 8^2 + 3^2 - 2(8)(3)cos∏
    48cosØ = 9
    cosØ = 9/48
    Ø = 79.163°

    so by the ||gm property, the angle between the two vectors is
    180-79.163 = appr 100.8°

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