The Vector Cross Product

The video tutorial explains the concept of cross products, a method to multiply two vectors resulting in another vector. It covers the calculation of cross products using determinants, the orthogonality of the resulting vector, and the right-hand rule for determining direction. The tutorial also discusses properties such as non-commutativity and non-associativity, and applications in physics, including the relationship between cross product magnitude and the area of a parallelogram.

Why do parallel vectors have a cross product equal to zero?

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Describe the relationship between the magnitude of the cross product and the area of the parallelogram formed by the two vectors.

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List and explain two properties of the cross product.

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