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Math Help - vector problem sum

  1. #1
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    vector problem sum

    A force F of 6 units acts in the direction 30 degrees west of north. An object is
    constrained to move north-westerly, that is, 45 degrees west of north.
    (a) Sketch the force vector roughly to scale on a set of axes that has the positive y
    axis pointing north, and write F using exact values, either in the form (x; y) or
    else in the form xi + yj.
    (b) Write a vector in the direction of the given movement of the object.
    (c) Without using trigonometric functions, »find both the scalar component and the
    vector projection of F in the direction of movement of the object. Write both
    answers as exact values, not decimal approximations.
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  2. #2
    Senior Member vincisonfire's Avatar
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    It is hard to draw anything here.
    You can use the fact that the cathete opposite to the angle is half the hypothenuse in length when the angle is 30 degrees.
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