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This lecture covers the concept of normal acceleration in physics, where the acceleration is directed towards the center of curvature, and the trajectory is approximated by an arc of a circle. It also delves into Euler's theorem, describing spatial rotations and defining rotations by axis, direction, and angle. The lecture further explores the rotation of vectors, the antisymmetric matrix notation, and the fixed vector in a rotating frame. Additionally, it discusses the angular speed of rotation, the corkscrew rule, and the Bouchan puller rule.