Allied & ICAR Exam Bank • ALLIED_2583 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A point P(4, 0, 3) is rotated by 90 degrees counter-clockwise about the y-axis (looking along +y toward origin). What is the resulting x-coordinate? (In right-handed coordinates, rotation about y maps (x, z) to (z, -x))

Answer Key:

3

Step-by-Step Solution & Explanation

Under standard right-handed 90 deg CCW rotation about y: x' = z = 3, y' = y = 0, z' = -x = -4. The resulting x-coordinate is 3.
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