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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 74E

See similar textbooks