Physics Vectors & Equilibrium PMDC Conceptual Practice
PMDC Verified Question 22 of 50
If the rectangular x-component \(R_x\) of a vector is positive and its y-component \(R_y\) is negative, in which quadrant does the resultant vector lie?
A
First quadrant
B
Second quadrant
C
Third quadrant
D
Fourth quadrant
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Fourth quadrant
Concept:
Quadrant determination using component signs.

Solution:
The signs of the components determine the direction:
  • \(R_x > 0\) (points along the positive x-axis, to the right)
  • \(R_y < 0\) (points along the negative y-axis, downwards)
The right-down direction corresponds to the fourth quadrant.

Why other options are incorrect:
  • First quadrant: Requires both components to be positive.
  • Second quadrant: Requires negative x-component and positive y-component.
  • Third quadrant: Requires both components to be negative.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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