If the x-component of the resultant of two vectors is positive and its y-component is negative, the resultant subtends an angle of _ on x-axes.
Correct answer: A. 360° - θ
- A. 360° - θ
- B. 180° + θ
- C. 90° - θ
- D. θ
Explanation
To determine the angle subtended by the resultant vector on the x-axis, consider the signs of its components. A positive x-component and a negative y-component place the vector in the fourth quadrant. In this quadrant, the angle is measured as 360° - θ relative to the positive x-axis. Therefore, the correct answer is 360° - θ. Other options suggest placement of the vector in incorrect quadrants based on their angle indications, which do not match the given component signs.
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About Vectors and Equilibrium
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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