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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) We cannot associate a vecor with the length of a wire bent into a loop. This is because the length of the loop does not have a definite direction.
b) We can associate a vector with a plane area. Such a vector is called area vector and its direction is represented by a normal drawn outward to the area.
c) The area of a sphere does not point in any difinite direction. However, we can associate a null vector with the area of the sphere. We cannot associate a vector with the volume of a sphere.
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NCERT-MOTION IN A PLANE -EXERCISE
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