# Vectors and Planes 4+

• Free

## Description

“Vectors and Planes” App helps visualize and understand 3D linear and quadric structures and their intersections.

List of linear structures and combinations:
1. Two vector combination.
2. Plane.
3. Line and plane combination.
4. Two plane combination.
5. Three plane combination.

1. Two sphere combination.
2. Standard ellipsoid.
3. Ellipsoid in a form of positive-definite matrix.
4. Standard cone.
5. Cone in a form of indefinite matrix.
6. 1-sheet hyperboloid.
7. 1-sheet hyperboloid in a form of indefinite matrix.
8. 2-sheet hyperboloid.
9. 2-sheet hyperboloid in a form of indefinite matrix.
10. Standard cylinder.
11. Cylinder in a form of positive-semidefinite matrix.
12. Hyperbolic paraboloid.
13. Elliptic paraboloid.

Current list of combinations of quadric and linear structures:
1. Matrix ellipsoid and line.
2. Standard ellipsoid and plane.
3. Matrix cone and line.
4. Standard cone and plane.
5. 1-sheet hyperboloid in matrix form and line.
6. 2-sheet hyperboloid in matrix form and line.
7. Matrix cylinder and line.
8. Elliptic paraboloid and line.
8. Hyperbolic paraboloid and line.

Interactive 3D graphs are provided for all of the above.

Step by step calculation algorithms are provided for all intersection point sets.
Many of the algorithms are based on Linear Algebra concepts. Those, in turn, are explained in our “Matrix Solver Step by Step” app.

Version 10 was completely redesigned.

Developers hope to get feedback from users at graphmath@aol.com.

## What’s New

Version 15.5

1. Combination of Hyperbolic paraboloid and line.
2. UI improvements.

## Ratings and Reviews

sammoroz ,

### A new way to understand vectors

The field of vector and plane geometry is, even if daunting, fascinating. Unfortunately, public schools usually do not tap into the power of the vector beyond a surface level, even in AP Physics and upper-level math, so most people’s understanding of vectors is minimal and/or faulty.

Vectors&Planes does more than simply give you answers to vector problems. It walks you through, step by step, how vectors are formed and interact with one another. A particular helpful technique is to download this app and ‘Matrix Solver Step by Step’ by the same developer and see the foundations of planar geometry in a new light. For the aspiring applied mathematician or STEM major, these apps are not only highly educational and enriching but lots of fun to play with.

## App Privacy

The developer, Yuri Morozov, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy.

### Data Not Collected

The developer does not collect any data from this app.

Privacy practices may vary, for example, based on the features you use or your age. Learn More