Vector Tools
Browse all available vector tools.
Available tools
- Angle Between Vectors Calculator Calculate the smaller angle between two nonzero vectors in radians and degrees.
- Basis Vector Determinant Sign Tool Inspect floating-point orientation of a supplied 3D basis after row scaling; no exact-predicate guarantee.
- Dot Product Calculator Calculate the scalar dot product of equal-length numeric vectors.
- Hadamard Product Calculator Compute the element-wise product of two equally sized vectors.
- Homogeneous Point Weight Flag Tool Classify a supplied homogeneous weight; other coordinates must separately define a nonzero projective tuple.
- Scalar Vector Multiplication Calculator Multiply every numeric vector component by a scalar.
- Signed Component Ratio Tool Calculate signed component ratio from explicit caller-supplied inputs.
- Vector 2d Complex Multiplication Pair Tool Calculate vector 2d complex multiplication pair from explicit caller-supplied inputs.
- Vector 2d Shear Area Preservation Residual Tool Calculate vector 2d shear area preservation residual from explicit caller-supplied inputs.
- Vector 3d Coordinate Cyclic Permutation Tool Calculate vector 3d coordinate cyclic permutation from explicit caller-supplied inputs.
- Vector Addition Calculator Add two equal-length numeric vectors component by component.
- Vector Affine Combination Weight Residual Tool Calculate vector affine combination weight residual from explicit caller-supplied inputs.
- Vector Affine Origin Shift Budget Tool Passive coordinate change to a new origin displaced by a supplied vector.
- Vector Angle Bisector Equal Norm Case Tool Calculate vector angle bisector equal norm case from explicit caller-supplied inputs.
- Vector Axis Angle Infinitesimal Step Tool Return the first-order active Rodrigues rotation v+angle*(unitAxis cross v), with angle in radians.
- Vector Axis Reflection Tool Reflect a vector across the coordinate hyperplane normal to one indexed axis by negating that coordinate.
- Vector Axis Rejection Length Tool Return only the perpendicular component magnitude relative to a supplied nonzero axis.
- Vector Azimuth Elevation Pole Ambiguity Tool Calculate vector azimuth elevation pole ambiguity from explicit caller-supplied inputs.
- Vector Basis Coordinate Unit Scale Tool Calculate vector basis coordinate unit scale from explicit caller-supplied inputs.
- Vector Bivector Single Coordinate Tool Calculate vector bivector single coordinate from explicit caller-supplied inputs.
- Vector Component Cancellation Ratio Tool Calculate vector component cancellation ratio from explicit caller-supplied inputs.
- Vector Component Quantization Error Bound Tool Calculate vector component quantization error bound from explicit caller-supplied inputs.
- Vector Coordinate Axis Permutation Tool Permute a vector using an explicit zero-based destination-to-source axis permutation; the empty vector is allowed.
- Vector Cross Product Calculator Calculate the three-dimensional cross product of two vectors.
- Vector Cross Product Normalized Area Term Tool Calculate vector cross product normalized area term from explicit caller-supplied inputs.
- Vector Cross Product One Input Coordinate Derivative Tool Calculate vector cross product one input coordinate derivative from explicit caller-supplied inputs.
- Vector Cylindrical Basis Azimuth Term Tool Transform vector components in the local cylindrical basis to Cartesian components at an explicit azimuth.
- Vector Dual Basis One Dot Constraint Tool Calculate vector dual basis one dot constraint from explicit caller-supplied inputs.
- Vector Fixed Axis Rotation Quarter Turn Tool Compute vector fixed axis rotation quarter turn from explicit bounded inputs.
- Vector Frame Axis Sign Tool Calculate vector frame axis sign from explicit caller-supplied inputs.
- Vector Gram Determinant Roundoff Check Tool Calculate vector gram determinant roundoff check from explicit caller-supplied inputs.
- Vector Homogeneous Weight Zero Tag Tool Compute vector homogeneous weight zero tag from explicit bounded inputs.
- Vector L-Infinity Norm Calculator Calculate the maximum absolute vector component.
- Vector L1 Ball Coordinate Slack Tool Calculate vector l1 ball coordinate slack from explicit caller-supplied inputs.
- Vector L1 Norm Calculator Calculate the sum of absolute vector components.
- Vector Magnitude Calculator Calculate the Euclidean magnitude of a numeric vector.
- Vector Normal Projection Sign Flip Tool Normal reversal flips the scalar coefficient but preserves the projected vector.
- Vector Normal Tangent Component Pair Tool Compute vector normal tangent component pair from explicit bounded inputs.
- Vector Normalization Calculator Normalize a nonzero numeric vector to unit Euclidean magnitude.
- Vector Normalization Coordinate Derivative Tool Calculate vector normalization coordinate derivative from explicit caller-supplied inputs.
- Vector Normalized Dot Domain Clamp Optionally clamp an explicitly supplied normalized dot product to [-1,1] while retaining an out-of-domain diagnostic.
- Vector Normalized Dot Residual Tool Calculate vector normalized dot residual from explicit caller-supplied inputs.
- Vector Normalized Sum Antipodal Domain Tool Calculate vector normalized sum antipodal domain from explicit caller-supplied inputs.
- Vector Nullspace Single Constraint Residual Tool Calculate vector nullspace single constraint residual from explicit caller-supplied inputs.
- Vector Origin Change Direction Invariance Tool Calculate vector origin change direction invariance from explicit caller-supplied inputs.
- Vector Plane Orthogonality Gap Tool Measure deviation from perpendicularity to a plane by reusing normalized-dot arithmetic on its supplied normal.
- Vector Projection Calculator Project one numeric vector onto a nonzero basis vector.
- Vector Projection Clamp Active Bound Tool Calculate vector projection clamp active bound from explicit caller-supplied inputs.
- Vector Projective Point Horizon Denominator Gap Tool Calculate vector projective point horizon denominator gap from explicit caller-supplied inputs.
- Vector Reflection Axis Component Sign Tool Calculate vector reflection axis component sign from explicit caller-supplied inputs.
- Vector Reflection Normal Sign Invariance Tool Calculate vector reflection normal sign invariance from explicit caller-supplied inputs.
- Vector Reflection Plane Distance Sign Apply explicit normal reversal and point-reflection sign policies to a supplied signed plane distance without locating the plane.
- Vector Rejection Calculator Calculate the component of a vector perpendicular to a nonzero basis vector.
- Vector Rejection Norm Roundoff Gap Tool Calculate vector rejection norm roundoff gap from explicit caller-supplied inputs.
- Vector Rodrigues Axial Component Tool Calculate vector rodrigues axial component from explicit caller-supplied inputs.
- Vector Rodrigues Axis Angle Sensitivity Tool Calculate vector rodrigues axis angle sensitivity from explicit caller-supplied inputs.
- Vector Scalar Triple Permutation Sign Tool Calculate vector scalar triple permutation sign from explicit caller-supplied inputs.
- Vector Sparse Explicit Zero Policy Tool Compute vector sparse explicit zero policy from explicit bounded inputs.
- Vector Subtraction Calculator Subtract one equal-length numeric vector from another.
- Vector Tangent Normal Basis Orientation Tool Calculate vector tangent normal basis orientation from explicit caller-supplied inputs.
- Vector Three Point Affine Dependence Residual Tool Calculate vector three point affine dependence residual from explicit caller-supplied inputs.
- Vector Three Point Barycentric Coordinate Term Tool Calculate vector three point barycentric coordinate term from explicit caller-supplied inputs.
- Vector Triple Cross One Coordinate Tool Calculate vector triple cross one coordinate from explicit caller-supplied inputs.
- Vector Two Axis Sign Flip Tool Compute vector two axis sign flip from explicit bounded inputs.
- Vector Two Dimensional Perpendicular Orientation Choice Tool Calculate vector two dimensional perpendicular orientation choice from explicit caller-supplied inputs.
- Vector Two Dimensional Polar Angle Sign Tool Calculate vector two dimensional polar angle sign from explicit caller-supplied inputs.
- Vector Uncertain Norm First Order Factor Tool First-order norm uncertainty for independent supplied component errors; excludes the nondifferentiable zero vector.
- Vector Unit Direction Zero Policy Tool Normalize a finite vector using scaled norm arithmetic; a zero or empty vector returns defined=false and zero coordinates.
- Vector Unit Normal Reference Reversal Tool Calculate vector unit normal reference reversal from explicit caller-supplied inputs.
- Vector: Vector Affine Point Direction Tag Tool Encode a 2D/3D affine point or free direction into homogeneous coordinates with explicit final weight one or zero; no projective division.
- Vector: Vector Coordinate Clamp Tool Clamp each vector component to its explicitly supplied ordered per-axis bounds without fitting a normalization scale.
- Vector: Vector Polar Elevation Convention Tool Crosswalk spherical polar angle from +z and elevation above the xy plane with explicit convention-specific domains.
- Vector: Vector Three Component Handedness Sign Tool Determine handedness of an explicit ordered three-vector basis from its scalar triple product, with exact zero treated as degenerate and no orthogonality claim.
- Vector: Vector Two Component Normal Pair Tool Return both oriented unit planar normals of a nonzero two-component vector under a Cartesian y-up convention.