Cross Product of Vectors and DeterminantsVideos, worksheets, games and acivities to help Algebra students learn how to find the cross product of vectors using determinants.
The Cross Product of Vectors : In Calculus we often use the cross product of vectors to find orthogonal vectors and the area of parallelograms in three dimensions. The cross product of vectors is found by identifying the 3x3 determinants, however we substitute one of the rows with symbols that represent unit vectors. Finding 3x3 determinants can be made easier if we understand how to simplify determinants.
Cross Product Area : Finding the area of a parallelogram in two dimensions involves the area determinant of a 2x2 matrix, but if we're given a parallelogram in three dimensions we can use the cross product area. The cross product area is a technique often used in vector calculus. The cross product is found using methods of 3x3 determinants, and these methods are necessary for finding the cross product area.
The Cross Product This video gives the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cross product.
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