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Two vectors A and B both lie in the xy-plane.

a. Is it possible for A to have the same magnitude as B but different components?
b. Is it possible for A to have the same components as B but a different magnitude?

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hopemichael95

Answer:

A. Yes its possible by employing Pythagoras theorem we can see that similar triangles can have similar hypotenuse but different length

B.no it's not possible also from Pythagoras of they have same components it must be the same triangle

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