Physics Vectors & Equilibrium PMDC Conceptual Practice
PMDC Verified Question 2 of 50
If a vector \(\vec{A}\) has components \(A_x = 1.5\text{ cm}\) and \(A_y = -1.0\text{ cm}\), in which quadrant of the Cartesian coordinate system does the vector point?

+x+yA
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Quadrant IV
Concept:
Cartesian Coordinate Quadrants and the signs of rectangular vector components.

Solution:
Let's look at the algebraic signs of the given rectangular components:
  • The x-component is positive: \(A_x > 0\) (points to the right).
  • The y-component is negative: \(A_y < 0\) (points downwards).
Any point with a positive horizontal coordinate and a negative vertical coordinate lies in the fourth quadrant (Quadrant IV).

Why other options are incorrect:
  • Quadrant I requires both components to be positive (\(A_x > 0, A_y > 0\)).
  • Quadrant II requires \(A_x < 0, A_y > 0\).
  • Quadrant III requires both components to be negative (\(A_x < 0, A_y < 0\)).

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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