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r 3.6. Visualize: The position vector r whose magnitude r is 10 m has an x-component of 6 m. It makes an angle θ with the +x -axis in the first quadrant. Solve: Using trigonometry, rx = r cosθ , or 6 m = (10 m )cosθ . This gives θ = 53.1°. Thus the y-component of the r position vector r is ry = r sin θ = (10 m )sin 53.1° = 8 m. Assess: The y-component is positive since the position vector is in the first quadrant.