Area With Determinants - Concept

Concept Concept (1)

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.

Sample Sample Problems (3)

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Area With Determinants - Problem 1
Problem 1
How to compute the area of a triangle using a determinant.
Area With Determinants - Problem 2
Problem 2
How to use the triangle area formula to test three points for collinearity.
Area With Determinants - Problem 3
Problem 3
How to compute the area of an irregular quadrilateral using determinants.