If the x-component of the resultant is negative and its y-component is positive, the result is true for:
Correct answer: A. An angle of (180°- θ) with x-axis
- A. An angle of (180°- θ) with x-axis
- B. An angle of (180°- θ) with y-axis
- C. An angle of 90°
- D. An angle of 180°
Explanation
When the x-component of the resultant vector is negative and the y-component is positive, the vector is positioned in the second quadrant of the Cartesian coordinate system. In this quadrant, the x-coordinate is negative, and the y-coordinate is positive, leading to an angle of (180°- θ) with the x-axis.The other options are incorrect because they do not align with the specific conditions provided in the question, such as the signs of the x and y components and the quadrant in which the vector lies.
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Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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