Anonymous
Anonymous asked in Science & MathematicsPhysics · 5 months ago

Vector M = 4.0 m points eastward and vector N = 3.0 m points westward. The resultant vector M + N is given by?

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  • 5 months ago

    East and west are opposite directions. To determine the resultant vector, subtract the two distances.

    d = 4 – 3 = 1 meter

    Since the distance eastward is greater than the distance, the direction of the resultant is east.

    M = 1 meter east

    I hope this is helpful for you.

  • Mx = 4 * cos(0) = 4

    My = 4 * sin(0) = 0

    Nx = 3 * cos(180) = -3

    Ny = 3 * sin(180) = 0

    Mx + Nx = 4 + (-3) = 1

    My + Ny = 0 + 0 = 0

    M + N is 1.0 meters Eastward

    tan(t) = (My + Ny) / (Mx + Nx) = 0 / 1 = 0

    tan(t) = 0

    t = arctan(0)

    t = 0

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