Vectors are drawn from the center of a regular​ n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.​ (Hint: What happens to the sum if you rotate the polygon about its​ center?) Let P be a regular​ n-sided polygon in a​ plane, where the center of the polygon is the center of the plane and where the​ x-axis goes through at least one of the vertices. If the sum of the vectors for an​ n-sided polygon is​ zero, will the sum always be​ zero, no matter how the polygon is​ rotated?  YES or NO?  Explain your

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Vectors are drawn from the center of a regular​ n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.​

(Hint: What happens to the sum if you rotate the polygon about its​ center?)

Let P be a regular​ n-sided polygon in a​ plane, where the center of the polygon is the center of the plane and where the​ x-axis goes through at least one of the vertices. If the sum of the vectors for an​ n-sided polygon is​ zero, will the sum always be​ zero, no matter how the polygon is​ rotated?

 YES or NO?  Explain your answer.

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