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Three coinitial vectors of magnitudes a, 2a and 3a meet at a point and their directions are along the diagonals if three adjacent faces if a cube. Determined their resultant R. Also prove that the sum of the three vectors determinate by the diagonals of three adjacent faces of a cube passing through the same corner, the vectors being directed from the corner, is twice the vector determined by the diagonal of the cube.

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Three vectors of magnitude a,2a,3a meet in a point and their directions are along the diagonals of the adjacent faces of a cube. Determine their resultant.

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Knowledge Check

  • The sum of the three vectors determined by the medians of triangle directed from the vertices is

    A
    0
    B
    1
    C
    `-1`
    D
    `1/3`

  • Three forces of magnitudes 1,2, and 3 dynes meet in a point and act along diagonals of three adjacent faces of a cube.The resultant force is

    A
    114 dyne
    B
    6 dynes
    C
    5 dynes
    D
    none of the abive

  • Three forces of magnitudes 1,2, and 3 dynes meet in a point and act along diagonals of three adjacent faces of a cube.The resultant force is

    A
    114 dyne
    B
    6 dynes
    C
    5 dynes
    D
    none of the abive

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