True or false: In (r, theta), the value of r can be negative.

Mathematics · High School · Thu Feb 04 2021

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In polar coordinates (r,θ), the value of r is generally considered to be non-negative.

r represents the distance from the origin to a point in the polar coordinate system, and distance is always positive. Therefore, the value of r is typically restricted to be non-negative.

So, the statement is generally false: In standard polar coordinates, r is not negative.