Vectors and Planes vs Geometry

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.

The GeometrySolver is not just an app, its a canvas and a book too. This app not only solves the geometric shapes, it also teaches you the formulas related to each geometric shape as well as it draws the geometric shapes when solved. This app is designed by an engineer to the perfection with every details in mind. It calculates side, height, diagonals, apothem, diameter, radius, perimeter, circumference, area, lateral area, surface area, volume. Some shapes have a dedicated interactive tab to play around and draw those shapes of different dimensions. Each geometric shape has its corresponding formulas written beautifully in mathematical way. This is a perfect app for your kids to learn geometry interactively. Draw, solve, share the geometric shapes. Drawn/solved shapes are displayed with their properties (numeric values). The Solve tab of angle is dynamic and interactive. You can touch/drag on the surface to draw an angle or use the slider to draw an angle. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. There are so many common geometric shapes to learn from like square, circle, cylinder, cone, cuboid, pyramid, sphere and more There is also a Study page to help you with learning formulae related to many common geometric shapes. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!