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Using Determinant to find the Area of a Parallelogram

Videos, worksheets, games and acivities to help Algebra students learn how to use the determinant to find the area of a parallelogram.

Area Determinant :
One thing that determinants are useful for is in calculating the area determinant of a parallelogram formed by 2 two-dimensional vectors. The matrix made from these two vectors has a determinant equal to the area of the parallelogram. Area determinants are quick and easy to solve if you know how to solve a 2x2 determinant. A parallelogram in three dimensions is found using the cross product.

Determinant and area of a parallelogram
Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix

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