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
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.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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