Coordinate Geometry

Calculate the Euclidean distance between two points in 2D or 3D coordinates, with midpoint, coordinate differences, Manhattan distance, Chebyshev distance, and angle.

Calculate the length of a line segment from endpoint coordinates in 2D or 3D, with midpoint, coordinate differences, direction vector, and a 2D preview.

Find the midpoint between two coordinate endpoints in 2D or 3D. You can also solve the reverse endpoint task when one endpoint and the midpoint are known.

Find where two 2D lines intersect from standard form, slope-intercept form, or two points on each line. The calculator also detects parallel and coincident lines.

Find the perpendicular distance from a 2D point to a line, using standard form or two points on the line, with signed distance and closest point.

Calculate the shortest distance from a point to a 3D line using a point and direction vector or two points on the line, with projection and closest point.

Find the equation of a plane in 3D from three points, a point and normal vector, or a point with two direction vectors, with normal vector and intercepts.

Calculate the perpendicular distance from a 3D point to a plane, with signed distance, orthogonal projection, and plane built from coefficients or three points.

Calculate the distance between two planes in 3D by checking whether they are parallel, coincident, or intersecting, then measuring parallel-plane separation.

Calculate the smaller angle between two planes from their normal vectors or standard plane equations, with degree/radian output and relationship labels.

Find the acute angle between a 3D line and a plane from a direction vector or two points on the line and the plane equation coefficients.

Find the vertex of a parabola from standard form, vertex form, or three points. The calculator shows the axis of symmetry, roots, focus, directrix, and graph.

Calculate the slope of a line from two points, an angle, or standard-form coefficients. Shows undefined vertical slope, angle, intercept, and perpendicular slope.

Find the equation of a line from two points or from a point and slope, with standard form, slope-intercept form, point-slope form, intercepts, and a graph.

Calculate the acute and obtuse angles between two 2D lines using slopes or standard-form coefficients, with parallel and perpendicular classifications.