Allied & ICAR Exam Bank • ALLIED_1806MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Spatial Reasoning & 3D Representations
Question Statement:
In three-dimensional robotics, why does the sequential order of finite rotations about different axes matter (e.g. rotation about X then Y versus rotation about Y then X)?
Options:
(A) Because 3D rotation operations (matrix multiplication) are non-commutative
(B) Because distances are not preserved under rotation
(C) Because angles change dynamically with velocity
(D) Because the origin shifts
Answer Key:
A
Step-by-Step Solution & Explanation
Rotations in 3D space are represented by orthogonal matrices in SO(3). Since matrix multiplication is generally non-commutative (R_x * R_y != R_y * R_x), order matters.