Area With the Cross Product - Concept

Concept Concept (1)

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.

Sample Sample Problems (3)

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Area With the Cross Product - Problem 1
Problem 1
How to compute the area of a parallelogram using the cross product of the vectors that determine it.
Area With the Cross Product - Problem 2
Problem 2
How to compute the area of a triangle in the xy-plane using vectors formed from two of its sides.
Area With the Cross Product - Problem 3
Problem 3
How to compute the area of a triangle in xyz-space using vectors formed from two of its sides.