physics (vector)

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the direction of forces 1n,2n,3nacting at a point are parallel to the sides of an equilateral triangle.the magnitude of the resultant is what? How

  • physics (vector) -

    Let the direction of the 1 n vector be up (+y direction). The components of the resultant are:
    1 n: 1 j
    (j is a unit vector in +y direction)
    2 n: -1 j + sqrt3 i
    (i is a unit vectyor in +x direction)
    3 n: -1.5 j -(3/2)sqrt3 i
    vector sum:
    -1.5 j + -(1/2)sqrt3 i
    magnitude = sqrt[2.25 + 0.75)= sqrt3

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