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A robot arm PQ with end coordinates P(0,0) and Q(2,5) rotates counter clockwise about P in the X Y plane by 90°. The new coordinate pair of the end point is

1. (-2,5)
2. (-5,2)
3. (-5,-2)
4. (2,-5)

Correct answer: (-5,2)

Solution

When the robot arm PQ rotates counterclockwise by 90° around point P(0,0), the coordinates of point Q(2,5) transform according to the rotation matrix for 90° counterclockwise, resulting in the new coordinates (-5,2).

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