Coordinate Geometry calculators
46 calculators Cross Product Calculator Find the cross product a x b, unit normal vector, angle between vectors, parallelogram area, triangle area, and scalar triple product. Full step-by-step working shown.
Open Dot Product Calculator Compute the dot product, angle, scalar and vector projections for 2D or 3D vectors. Also solve from magnitudes and angle. Step-by-step work shown.
Open Midpoint Calculator Find the midpoint of two points in 2D or 3D, or reverse-solve for a missing endpoint. Also shows the distance between the endpoints and fraction results.
Open Point-Slope Form Calculator Convert a slope and point (or two points) into point-slope, slope-intercept, and standard form. Includes x-intercept, angle, and parallel/perpendicular slopes.
Open Slope Calculator Find slope, angle, distance, percentage grade, y-intercept, x-intercept, and the full line equation from two points or one point plus slope.
Open Slope-Intercept Form Calculator Find y = mx + b from two points, a point and slope, or slope and y-intercept. Outputs include x-intercept, angle, standard form, and a table of values.
Open Vector Magnitude Calculator Compute the magnitude of a 2D, 3D, 4D or 5D vector. Get unit-vector components, direction angles and cosines, plus a full step-by-step working.
Open Vertex Form Calculator Convert ax²+bx+c to vertex form a(x-h)²+k, or go the other way. Finds vertex, roots, y-intercept, axis of symmetry, focus, and discriminant with full steps.
Open Y-Intercept Calculator Find the y-intercept, x-intercept, slope and full equation from a slope and point, two points, or standard form ax + by + c = 0. Step-by-step solution shown.
Open Average Rate of Change Calculator Calculate the average rate of change between two points or over a function interval. See the formula, step-by-step working, secant line, and real-world interpretation.
Open Bilinear Interpolation Calculator Estimate a value at any point inside a 2D grid cell from four known corner values. See the full step-by-step working, the formula, and intermediate results instantly.
Open Catenary Curve Calculator Calculate the catenary curve shape parameter, sag, arc length, cable tension, and support angle. Switch between metric and imperial units with a live curve chart.
Open Coordinate Grid Calculator Calculate distance, midpoint, slope, line equation, angle of inclination, and perpendicular bisector between two points on the coordinate grid instantly.
Open Cosine Similarity Calculator Calculate cosine similarity, cosine distance, and the angle between two vectors in 2 to 6 dimensions. Step-by-step dot product and magnitude breakdown included.
Open Direction of the Vector Calculator Find the direction angle, direction cosines, magnitude, and unit vector for any 2D or 3D vector. Shows quadrant-aware angle in degrees and radians with step-by-step work.
Open Distance Calculator Calculate the distance between two points in 2D or 3D using the Euclidean distance formula. See the step-by-step working, midpoint, slope and a live diagram.
Open Distance from Point to Plane Calculator Calculate the perpendicular distance from any 3D point to a plane instantly. Enter plane coefficients or a normal vector, see the formula and step-by-step working.
Open Endpoint Calculator Find the missing endpoint of a line segment from one endpoint and the midpoint. Supports 2D and 3D, shows step-by-step working, distance, and a coordinate graph.
Open Equation of a Sphere Calculator Find the standard and general equation of a sphere from center and radius, diameter endpoints, or expanded coefficients. Get volume, surface area, and step-by-step derivation.
Open Gradient Calculator Calculate the gradient (slope) between two points or from rise and run. Get the angle in degrees, percent grade, distance, and a full step-by-step worked solution.
Open Intersection of Two Lines Calculator Find where two lines cross. Supports slope-intercept and standard form. Shows step-by-step algebra, the intersection formula, and handles parallel or coincident lines.
Open Irregular Polygon Area Calculator Calculate the area, perimeter, and centroid of any irregular polygon from vertex coordinates. Uses the Shoelace formula with a full step-by-step breakdown.
Open Latus Rectum Calculator Calculate the latus rectum length and endpoint coordinates for any conic section - parabola, ellipse, or hyperbola - with step-by-step working and formulas.
Open Least Squares Regression Line Calculator Find the least squares regression line (LSRL) instantly: enter x and y data pairs to get the slope, y-intercept, R-squared, correlation, and a step-by-step solution.
Open Line Equation from Two Points Calculator Enter two points and get the line equation in slope-intercept, standard, point-slope, and parametric forms, plus slope, intercepts, angle, distance, and midpoint.
Open Line of Intersection of Two Planes Calculator Find where two planes meet. Enter plane coefficients (ax+by+cz=d) and get the direction vector, a point on the line, parametric equations, and the angle between planes.
Open Linear Interpolation Calculator Instantly interpolate (or extrapolate) a y-value for any x between two known data points. Shows the slope, y-intercept, equation, worked steps, and a live chart.
Open Manhattan Distance Calculator Calculate Manhattan distance (L1 norm) in 2D, 3D or 4D. Step-by-step breakdown, Euclidean comparison, real-world use cases for grids, ML, and robotics.
Open Parabola Calculator Calculate vertex, focus, directrix, axis of symmetry, latus rectum and intercepts for any parabola from standard or vertex form. Step-by-step workings shown.
Open Parallel Line Calculator Find the equation of a line parallel to any given line through a specific point. Get the y-intercept, distance between lines, and a step-by-step solution instantly.
Open Perpendicular Line Calculator Find the equation of a perpendicular line through any point. Enter slope-intercept, two-point, or standard form. Shows slope, equation, intersection point, and steps.
Open Polar Coordinates Calculator Convert rectangular (x, y) to polar (r, theta) or polar to rectangular instantly. Choose degrees or radians. See the worked steps and a coordinate diagram.
Open Polynomial Graphing Calculator Graph any polynomial up to degree 5. Instantly find real roots, local maxima and minima, inflection points, increasing/decreasing intervals, and end behavior.
Open Ratios of Directed Line Segments Calculator Find the point dividing a directed segment AB in ratio m:n (internal or external), or reverse-solve the ratio from three collinear points. Steps shown.
Open Rise Over Run Calculator Calculate slope from two points using rise over run. Get the slope as a fraction, decimal, percent grade, angle in degrees, and 2D distance instantly.
Open Rotation Calculator Rotate any point or coordinate pair around the origin or a custom center. Supports degrees and radians, clockwise or counterclockwise, with step-by-step working.
Open Scatter Plot Calculator Enter up to 10 (x, y) data pairs to get the linear regression equation, slope, intercept, Pearson r, R-squared, RMSE, and descriptive statistics instantly.
Open Spherical Coordinates Calculator Convert between Cartesian, spherical, and cylindrical coordinates instantly. Supports degrees and radians with full step-by-step working and formulas.
Open Standard Form to Slope-Intercept Form Calculator Convert Ax + By + C = 0 to y = mx + b instantly. Get slope, y-intercept, x-intercept, angle, and step-by-step working with a live graph.
Open Three-Dimensional Distance Calculator Calculate the straight-line distance between two points in 3D space. Get the midpoint, direction vector, unit vector, and axis deltas instantly.
Open Triangulation Calculator Find an unknown point using triangulation (two bearings) or trilateration (two distances). Shows coordinates, azimuth, step-by-step working, and a live diagram.
Open Unit Vector Calculator Find the unit vector (normalized vector) for any 2D or 3D vector. Shows magnitude, unit components, direction angles, and step-by-step working.
Open Vector Addition Calculator Add or subtract two vectors in 2D or 3D, enter components or magnitude and angle, get the resultant vector, its magnitude, direction angle, and full worked steps.
Open Vector Calculator Vector calculator for 2D and 3D: magnitude, addition, subtraction, dot product, cross product, unit vector, and angle between vectors - with full step-by-step working.
Open Vector Projection Calculator Calculate the vector projection, scalar projection, orthogonal component, dot product, and angle between two vectors in 2D or 3D. Full step-by-step working shown.
Open Volume of a Parallelepiped Calculator Calculate the volume and surface area of a parallelepiped using three vectors, edge lengths and angles, or four vertices. Includes step-by-step working.
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