Given below are the two statements: Statement (I): The scale factor in homogeneous transformation matrix can be any real value. Statement (II): For robotics study, the scale factor in homogeneous transformation matrix is one. Choose the most appropriate answer from the options given below:
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In robotics homogeneous transformation matrices are used to calculate the position and orientation of objects and scaling is usually not part of the transformation
Both Statement (I) and Statement (II) are correct.
Both Statement (I) and Statement (II) are incorrect.
Statement (I) is correct but Statement (II) is incorrect.
Statement (I) is incorrect but Statement (II) is correct.
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The Correct Option isD
Solution and Explanation
Robotics applications use homogeneous transformation matrices with a typical scale factor of one because these matrices define object position and orientation without introducing scaling. Consequently, Statement (I) is incorrect, while Statement (II) is correct.
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