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A boy moves 100m towards North then 70 my towards East then what is its displacement

  • science -

    Is there a formula for displacement?

  • science -

    Displacement is position vector
    in this case it is

    70 i + 100 j in x y coordinates where i is unit x and j is unit y vectors

    its magnitude is sqrt (70^2 + 100^2)
    it direction north of east is
    tan theta = 100/70
    the compass angle east of north is 90 -theta

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