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Why the magnitude of the rectangular component of a vector can’t be greater than the magnitude of the vector itself?

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The magnitude of rectangular component of a vector itself cannot be greater them the magnitude of vector itself because the rectangular component of a vector A and Ax = A cos θ and Ay = A sin θ. As sin θ and cos θ both are ≤ 1, s both AX and Ay cannot be greater than A.

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