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Can you associate vectors with (a) the l...

Can you associate vectors with (a) the length of a wire bent into a loop (b) a plane area (c ) a sphere ? Explain.

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No, a vectors cannot be associated with finite length of a wire bent into a loop because it does not have a definite direction .
(b) Yes, a vector can be associated with a plane area . Such a vector is known as area vector , whose direction is prependicular to the plane area .
(c) No, a vector cannot be associtaed with the volume of phere. However , we can associate a vector with area of a sphere .
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