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Logic & Puzzles

A robotic arm with three joints needs to reach a specific point in space; the joint angles are linearly dependent. Which outcome occurs?

A)Unique solution, optimal movement
B)Solution unstable, arm oscillates
C)Infinite solutions, many configurations
D)No solution, point unreachable

💡 Explanation

Linear dependence among the joint angles means there are infinite possible configurations that can reach the same point, because the rank of the matrix representing the system is less than the number of joints; therefore, infinite solutions exist, rather than a unique solution or no solution.

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