Question:
Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere ? Explain.
Answer:
(c) No, one cannot associate a vector with the volume of a sphere. However, an area vector can be associated with the area of a sphere.
(a) No, one cannot associate a vector with the length of a wire bent into a loop.
(b) Yes, one can associate an area vector with a plane area. The direction of this vector is normal, inward or outward to the plane area.
(c) No, one cannot associate a vector with the volume of a sphere. However, an area vector can be associated with the area of a sphere.
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