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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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(a) When the wire is in the form of a loop infinitely large number of vectors can be associated with it . The average will be a null vector .
(b) A vector can be associated with area . The area of the parallelogram formed by the cross product of its side A and B is ,
Area = `vec(A) xx vec(B) = AB sin theta = hat(n)`
(c ) No , a vector cannot be associated with a sphere .
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