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More Lessons for Grade 9

Math Worksheets

Examples, solutions, videos, worksheets, solutions, and activities 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.

**Linear Algebra Example Problems - Area Of A Parallelogram**

Also verify that the determinant approach to computing area yield the same answer obtained using "conventional" area computations.

Example:

Consider the parallelogram with vertices (0,0) (7,2) (5,9) (12,11)

Sketch and compute the area.

**How to compute the area of a parallelogram using a determinant?**
**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

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 9

Math Worksheets

Examples, solutions, videos, worksheets, solutions, and activities to help Algebra students learn how to use the determinant to find the area of a parallelogram.

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.

Also verify that the determinant approach to computing area yield the same answer obtained using "conventional" area computations.

Example:

Consider the parallelogram with vertices (0,0) (7,2) (5,9) (12,11)

Sketch and compute the area.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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