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March 28, 2017

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If /U/=9, /V/=11, and theta = 43 deg (angle between), find the magnitude of U+V and give the direction that the that the resultant makes with U.

  • Vectors - ,

    make a sketch by completing the usual parallelogram , if U+V = R
    R^2 = 11^2 + 9^2 - 2(9)(11)cos 137°
    = 346.808
    R = 18.62

    now use the Sine Law to findØ, the angle between V and R.
    sinØ/9 = sin137°/18.62
    sinØ = .329595
    Ø = 19.24° with vector V, then
    23.76° with vector U

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