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Explore the concept of cross product in vector calculus through a comprehensive lecture covering its calculation using determinants, applications in finding mutually orthogonal vectors, and its role in physics and geometry. Learn to compute torque, determine the area of a parallelogram, calculate the volume of a parallelepiped, and understand coplanar vectors. Delve into proofs and practical examples to solidify your understanding of this fundamental vector operation in multivariable calculus.
