If the components AX and Ay of vector A are negative and positive respectively, then vector A lies in
Correct answer: B. II quadrant
- A. I quadrant
- B. II quadrant
- C. III quadrant
- D. IV quadrant
Explanation
The Cartesian plane is divided into four quadrants. In the II quadrant, vectors have a negative x-component and a positive y-component. Since vector A has AX negative and Ay positive, it lies in the II quadrant. Option A is incorrect because both components are positive in the I quadrant. Option C is incorrect as both components are negative in the III quadrant. Option D is incorrect because the x-component is positive and the y-component is negative in the IV quadrant.
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About Rectangular Components
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
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