Question: A paleobotanist is studying the symmetry of a fossilized flower with radial structure. If the flower has 7 equally spaced petals, and a vector $ \vecv $ from the center to a petal tip has components $ ( \cos \theta, \sin \theta ) $, and a second vector to an adjacent petal is $ \vecw = (\cos(\theta + \frac2\pi7), \sin(\theta + \frac2\pi7)) $, find the angle between $ \vecv $ and $ \vecw $. - Abu Waleed Tea