# Vectors and Planes — 3D Geometry Visual Guide

> Interactive 3D geometry visualization and calculation guide for linear and quadric structures. (iPhone/iPad app by Yuri Morozov.)

- Source: https://appshunter.io/ios/app/vectors-and-planes/id1605294727 (this page in markdown: same URL + `.md`)
- Developer: [Yuri Morozov](https://appshunter.io/developer/1582368813)
- Category: Education, Productivity
- Price: Free
- Rating: 4.50/5 from 4 App Store ratings · 1 written reviews indexed
- Age rating: 4+
- Requires: iOS 15.0 · 3 MB
- Languages: American English
- Released: 2022-01-16
- Data updated: 2026-07-30
- Monetization: free
- User reviews in markdown: https://appshunter.io/ios/app/vectors-and-planes/id1605294727/reviews.md

## What is Vectors and Planes?

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.

Current list of quadric structures:
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 ellipsoid and plane.
4. Matrix cone and line.
5. Standard cone and plane.
6. 1-sheet hyperboloid in matrix form and line.
7. 2-sheet hyperboloid in matrix form and line.
8. Matrix cylinder and line.
9. Elliptic paraboloid and line.
10. 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.

## Key features

- Visualize 3D linear structures
- Visualize 3D quadric structures
- Interactive 3D graphs
- Step-by-step calculation algorithms
- Combinations of structures
- Linear Algebra concepts

## Recent user reviews (1 of 1)

All indexed reviews: https://appshunter.io/ios/app/vectors-and-planes/id1605294727/reviews.md

### 5/5 — A new way to understand vectors

*2022-07-09*

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.

## Frequently asked questions about Vectors and Planes

### What mathematical concepts does Vectors and Planes help visualize?

Vectors and Planes helps visualize 3D linear structures like vector combinations and planes, as well as quadric structures such as ellipsoids, cones, hyperboloids, and cylinders. It also illustrates their various combinations and intersections.

### Does Vectors and Planes offer interactive elements?

Yes, the app provides interactive 3D graphs for all listed structures and their combinations. This allows users to manipulate and explore the geometric concepts in real-time.

### Are there step-by-step guides for calculations in Vectors and Planes?

Absolutely. Vectors and Planes includes step-by-step calculation algorithms for all intersection point sets. Many of these algorithms are rooted in Linear Algebra concepts.

### What is the learning methodology used by Vectors and Planes?

The app employs a visual and interactive learning methodology. By providing interactive 3D graphs and detailed calculation steps, it aims to enhance understanding of complex geometric relationships.

### How does Vectors and Planes track user progress?

Vectors and Planes focuses on providing tools for understanding and exploration rather than formal progress tracking. Users can revisit structures and calculations as needed to reinforce their learning.

### Is Vectors and Planes suitable for younger learners?

Vectors and Planes has an age rating of 4+, making it accessible. However, the complexity of the 3D geometry and linear algebra concepts it covers may be more appropriate for older students and adults.

### How often is Vectors and Planes updated?

The app was last updated on November 13, 2025, with version 16.7. Developers are actively seeking user feedback for future improvements and updates.

### Does Vectors and Planes have ads?

No, Vectors and Planes does not contain advertisements. It is a completely free application without any ad interruptions.

## Version history (last 5 releases)

### 16.7 — 2025-11-13

1. Link to our new statistical app, Discrete Probability (Calculator, Proofs, Graphs).
2. Bug fix.

### 16.6 — 2025-04-25

Link to our new app, 'Math Editor', which is a tool to create Math notes, posters and presentations.

### 16.5 — 2025-04-15

Fixed an issue with e-mail not sending from "About / Contact us" section.

### 16.4 — 2025-02-09

1. Link to our new app, "Construct Polynomial: Interpolate and Approximate".
2. Bug fix and UI improvements.

### 16.3 — 2024-11-16

Link to our new app: 'Polynomial Solver Step by Step', which will replace 'Polynomials and Linear Systems'.

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## More apps by Yuri Morozov

- [GraphMath](https://appshunter.io/ios/app/graphmath/id1582680101)
- [Matrix Solver Step by Step](https://appshunter.io/ios/app/matrix-solver-step-by-step/id1623894950)
- [Polynomials and Linear Systems](https://appshunter.io/ios/app/polynomials-and-linear-systems/id1642007937)
- [Least Squares Curve Fit](https://appshunter.io/ios/app/least-squares-curve-fit/id6443509668)
- [Drawing with Math](https://appshunter.io/ios/app/drawing-with-math/id6479322887)

All apps by Yuri Morozov: https://appshunter.io/developer/1582368813

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-07-30.*