Vectors and Planes Cheats

Vectors and Planes Hack 7.3 + Redeem Codes

3D Geometry Visual Guide

Developer: Yuri Morozov
Category: Education
Price: Free
Version: 7.3
ID: com.graphmath.VectorsAndPlanes

Screenshots

Game screenshot Vectors and Planes mod apkGame screenshot Vectors and Planes apkGame screenshot Vectors and Planes hack

Description

“Vectors and Planes” is an app by developers of GraphMath Graphing Calculator.
It is fully compatible with iOS 14 and 15, mostly compatible with iOS 13 and Mac OS, and performs the following:

Provides  results and, in most cases, formulas for:
1. Vector magnitude.
2. Angle between vectors.
3. Equation of a plane from 3 given points.
4. Distance between a point and a plane.
5. Point projection on a plane.
6. Angle between a vector and a plane.
7. Angle between two planes.
8. Line of intersection between two planes.
9. Determination of mode of intersections between three planes. Matrix transformations are shown step by step.
10. Calculation of intersection point, when single point is present. Matrix transformations are shown step by step.
11. Circle of intersection between a sphere and a plane.
12. Circle and plane of intersection between two spheres.
13. Volume and surface area of an ellipsoid.
14. Center, major radius, and minor radius of intersection of an ellipsoid and a plane.


Provides graphs for:
1. Two vector combination, their sum, difference, cross product, and angle.
2. A plane defined by three points.
3. A plane defined by an equation.
4. A plane and a point combination.
5. A plane and a vector combination.
6. Two plane combination.
7. Three plane combination.
8. A sphere defined as center and radius.
9. A sphere and a plane combination.
10. Two sphere combination.
11. An ellipsoid.
12. An ellipsoid and a plane combination.
13. Two ellipsoid combination.

Graph features: 
1. Images can be rotated around X, Y, and Z axes and tilted up or down.
2. Images can be drawn with or without perspective.
3. Animated rotation around Z axis is shown on initial drawing. This can be turned off.
4. Structures obscured by planes, spheres or ellipsoids are drawn in grey.
5. Zoom in and out.
6. Scroll function.

Previous entries for vectors, planes, and points are stored in a table and available after the app is closed.
Tables of points and vectors can be sorted by X, Y, Z, or by most recent.
Table of planes can be sorted by A, B, C, D, or by most recent.

Provides links to three other apps by same developers:
1. “GraphMath” Graphing Calculator.
2. “Matrix Solver Step by Step" Linear Algebra Visual Guide.
3. “Polynomial and Linear Systems” Equation Solver.

Developers hope to get feedback from users at [email protected].

Version history

7.3
2022-10-03
1. Added a link to our new App: 'Least Squares Curve Fit'.
2. Bug fixes.
7.2
2022-09-04
1. UI Improvements, including new screen for other Mathematical Apps by GraphMath.
2. Link to our new App: Polynomials and Linear Systems.
7.1
2022-07-24
New design for the Entry screens.
7.0.2
2022-05-19
Fixed button text that was not showing correctly on some iPad models
7.0.1
2022-05-16
V.7.0.1: Bug Fix

V.7.0: Link to our new app, Matrix Solver Step by Step
7.0
2022-05-15
1. Link to our new app, Matrix Solver Step by Step
2. Bug fixes
6.3
2022-05-11
1. Graph for combination of two ellipsoids.
2. Bug fixes.
6.2.1
2022-05-04
Bug Fixes
6.2
2022-05-03
1. Graph for an ellipsoid and a plane combination.
2. Results for an ellipsoid and a plane intersection: center coordinates, minor radius, major radius.
3. Steps for calculating matrix rank for determination of number of intersections between three planes.
4. Bug fixes.
6.1.1
2022-04-29
Bug fixes
6.1
2022-04-27
1. Calculation for 3 plane intersections.
2. When single intersection is present, step by step matrix transformations are shown.
3. Bug fixes.
6.0
2022-04-18
1. Graph for two sphere combination.
2. Calculation of two sphere intersection information.
3. Graph for an ellipsoid.
4. Calculation and formulas of ellipsoid volume and surface area.
5. Performance improvements.
5.0.1
2022-04-17
Bug fixes and performance improvements.
5.0
2022-04-09
1. Graph for a single sphere.
2. Graph for a plane and a sphere combination.
4. Sphere and plane intersection calculation.
5. Major improvement in speed of three plane drawing.
6. Bug fixes.
4.1
2022-03-11
1. Click on a plane displays 3D coordinates of the plane point.
2. Performance improvements.
3. Bug fixes.
4.0
2022-02-27
1. Graphs for three plane combinations.
2. Parametric equation of two planes intersection line.
3. New Logo (App Icon)
3.2
2022-02-17
1. Scroll control for images.
2. Improved efficiency of 2 plane combination drawing.
3. Bug fixes.
3.1
2022-02-07
V.3.1: Zoom in and out for images, available from the menu or by screen pinch.
Scroll indicator for graph images.
Tables of points and vectors can be sorted by X, Y, Z, or by most recent.
Table of planes can be sorted by A, B, C, D, or most recent.
Bug fixes.

V.3.0: Graph for two plane combination.
Option of graph drawing with perspective.
3.0
2022-02-05
1. Graph for two plane combination.
2. Option of graph drawing with perspective.
3. Bug fixes.
2.3
2022-01-31
1. Graph for vector and plane combination.
2. Animation on initial graph display: structures are rotated around Z axis. This feature can be turned off in the menu.
3. When a point and a plane are displayed, the point is drawn in a different color if behind the plane.
4. When a vector and a plane are displayed, part of the vector that is behind the plane is drawn in a different color.
5. Control sizes and font size change according to window size on Mac computer
2.2
2022-01-27
1. Image for a plane defined by three points
2. Image for a plane defined by an equation
3. Image for a point and a plane
4. Calculation of point projection on a plane
5. Graph scale is displayed in the upper right corner of each image
6. Light reflection for planes. This feature can be turned off if desired
7. Other UI improvements and bug fixes
2.1
2022-01-23
V.2.1: Added image for angle between vectors.
Font size of controls increases for large iPad screens.
Coordinate planes are displayed on vector images, can be removed by user.
Fixed issue with incorrect button text placement with rotation.
Several other bug fixes.

V.2.0: Graphs for 2 vector combination, their sum, difference, and cross product.
GraphMath graphing calculator button opens the app, if it is already installed.
2.0
2022-01-21
Graphs for 2 vector combination, their sum, difference, and cross product (see details below).
GraphMath graphing calculator button opens the app, if already installed.
1.1
2022-01-19
Fixed issue with tables and other controls not appearing properly in dark mode
1.0
2022-01-16

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Ratings

5 out of 5
3 Ratings

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.