Three forces act on an object that moves with constant velocity. Only two of them are known: in the mass frame, as shown in the figure below, one of the forces has magnitude 11 N, makes an angle of 15º with the y-axis and is located in the first quadrant, while the other force has magnitude 7 N, makes an angle of 45º with the æ axis and is positioned in the fourth quadrant. (a) Find the magnitude, direction, and direction of the third force. (b) Use the definition of the dot product to calculate the angle, in degrees, between the force obtained in item (a) and the vector -i (which represents the negative direction of the x axis).

Three forces act on an object that moves with constant velocity. Only two of them are known: in the mass frame, as shown in the figure below, one of the forces has magnitude 11 N, makes an angle of 15º with the y-axis and is located in the first quadrant, while the other force has magnitude 7 N, makes an angle of 45º with the æ axis and is positioned in the fourth quadrant. (a) Find the magnitude, direction, and direction of the third force. (b) Use the definition of the dot product to calculate the angle, in degrees, between the force obtained in item (a) and the vector -i (which represents the negative direction of the x axis).

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