In a Cartesian Coordinate System, the points (- 6, - 8) lies in the
Correct answer: C. III quadrant
- A. I quadrant
- B. II quadrant
- C. III quadrant
- D. IV quadrant
Explanation
In a Cartesian coordinate system, the quadrants are determined by the signs of the x and y coordinates. The point (-6, -8) has both negative x and y coordinates, placing it in the III quadrant. Option A is incorrect because the I quadrant has positive x and y coordinates. Option B is incorrect because the II quadrant has a negative x coordinate and a positive y coordinate. Option D is incorrect because the IV quadrant has a positive x coordinate and a negative y coordinate.
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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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