Vector Gem vs ALG Math Solver使用状況と統計

The app is intended for students and engineers and anyone who uses mathematical calculations in their studies or work. It contains more than 100 calculators for solving step-by-step various problems in linear algebra, matrix calculations, analytical geometry, elementary geometry, systems of linear equations, quadratic equations and much more. Each calculator contains a small theory on a specific task. The program, using the necessary formulas, will perform step-by-step calculations and display a detailed solution. This app also includes a random number generator to quickly create sample expressions with random numbers. The application performs the following operations: Matrix operations, Determinants Matrix addition Matrix subtraction Matrix multiplication Matrix multiplication by scalar Matrix transpose Matrix square Determinant: Sarrus method Determinant: Laplace method Invertible matrix Vector Calculus Vector Length Vector coordinates by two points Vectors addition Vectors subtraction Scalar and vector multiplication Scalar product of vectors Cross product of vectors Mixed triple product Angle between two vectors Projection of a vector onto another vector Direction cosines Collinear vectors Orthogonal vectors Coplanar vectors Area of triangle formed by vectors Area of a parallelogram formed by vectors Volume of pyramid formed by vectors Volume of a parallelepiped formed by vectors Analytic geometry, 2D General equation of a straight line Slope equation of a straight line Line equation in segments Polar parameters of the line Relationship between line and point Distance between two points Dividing a segment in half Dividing a segment in a given ratio Triangle area Condition under which three points lie on the same line Condition of parallel lines Two lines are perpendicular Angle between two lines Bunch of lines Relationship between a line and a pair of points Point to line distance Analytic geometry, 3D: Equation of a plane Condition for parallel planes Condition for perpendicular planes Angle between two planes Segments on axes Equation of a plane in segments Relationship between a plane and a pair of points Point to plane distance Polar parameters of the plane Normal Equation of a Plane Reducing the plane equation to normal form Equations of a line in space Canonical equation of a straight line Parametric equations of a straight line Direction vectors Angles between line and coordinate axes Angle between two lines Angle between line and plane Condition of parallel line and plane Condition of perpendicularity of a line and a plane Elementary Geometry, plane: Triangle area Median of triangle Triangle height Pythagorean theorem Radius of a circle circumscribing a triangle Radius of a circle inscribed in a triangle Area of a parallelogram Area of a rectangle Square area Trapezoid area Rhombus area Circle area Sector area Length of the arc of a circle Elementary Geometry, space: Parallelepiped volume Cuboid volume Cube volume Pyramid lateral surface area Pyramid total surface area Pyramid volume Truncated pyramid lateral surface area Truncated pyramid total surface area Truncated pyramid volume Cylinder lateral surface area Cylinder total area Cylinder volume Cone lateral surface area Cone total surface area Cone volume Sphere surface area Sphere volume System of linear equations: Substitution method Cramer's method Invertible matrix method Algebra: Quadratic Equations Biquadratic Equations Arithmetic progression, sum of the first n members Arithmetic progression, finding n-th term Geometric progression, sum Geometric progression, finding n-th term Greatest Common Divisor Least Common Multiple The application is being actively developed and supplemented with new calculators. Keep for updates!