Orthographic projection geometry: In orthographic projection, the projectors (visual rays) are parallel to the plane of projection. Decide whether this statement correctly describes orthographic projection.

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
Orthographic projection forms views by projecting points of a 3D object onto planes. The orientation of the projectors relative to the projection plane defines the geometry. This item checks the fundamental relationship used in orthographic views.



Given Data / Assumptions:

  • Orthographic projection uses parallel projectors.
  • First-angle and third-angle are layout conventions, not different projection geometries.
  • The plane of projection is the sheet plane for each view.


Concept / Approach:
In true orthographic projection, projectors are parallel to each other and perpendicular to the plane of projection. Being perpendicular avoids perspective distortion and preserves true sizes along directions parallel to the projection plane. Saying projectors are parallel to the plane is incorrect.



Step-by-Step Solution:

Define projector direction: parallel rays model an infinitely distant viewpoint.Set projector orientation: perpendicular (normal) to the projection plane.Apply to front, top, and side views alike.Conclude the given statement is inaccurate.


Verification / Alternative check:

Check that edges parallel to the plane remain true length—this results from perpendicular projectors.


Why Other Options Are Wrong:

Correct: Would accept a false geometric relationship.True only in first-angle / third-angle: Both angle conventions still use perpendicular projectors.


Common Pitfalls:

Confusing orthographic with oblique or perspective projections.Assuming “parallel projectors” means “parallel to the plane,” which is not the case.


Final Answer:

Incorrect

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