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Can any of the rectangular components of a given vector have magnitude greater than the vector itself? Explain.

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Can any of the rectangular components of a given vector have magnitude greater than the vector itself? Explain.

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No. The rectangular components of a vector A has values A cosθ and A sinθ. Since the values of cosθ and sinθ can never be greater than one, hence the value of any rectangular components of a vector can never be greater than the given vector.

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