Linear Algebra

Angle Between Vectors Calculator

Use the angle between vectors calculator to find the smallest angle between two 2D or 3D vectors with step-by-step dot-product working, cosine similarity.

Cross Product Calculator

Calculate the cross product of two 3D vectors with steps, area, unit normal, right-hand-rule direction, and reversed-order checks.

Dot Product Calculator

Use this dot product calculator to compute the scalar product of 2D or 3D vectors, angle between vectors, cosine similarity, orthogonality, scalar projection.

Matrix Calculator

Use this matrix calculator for 2x2 and 3x3 determinants, inverses, multiplication, transpose, trace, scalar multiples, and step-by-step checks.

Unit Vector Calculator

Use this unit vector calculator to normalize a 2D or 3D vector, verify its magnitude, and work through the full vector normalization steps.

Vector Addition Calculator

Add multiple 2D or 3D vectors component-wise and find the resultant vector with magnitude.

Vector Calculator

Perform vector operations including addition, subtraction, dot product, cross product, and scalar multiplication.

Vector Magnitude Calculator

Calculate the magnitude of a 2D or 3D vector with squared magnitude, unit vector, and direction angles.

Vector Norm Calculator

Compute the vector norm for any real vector, compare L1, L2, L∞, and Lp values, and connect vector magnitude, distance metrics, infinity norm.

Vector Projection Calculator

Use the vector projection calculator to project one vector onto another, showing the projection vector, scalar projection, perpendicular component, angle.

Vector Subtraction Calculator

Subtract two vectors component-wise in 2D or 3D, with magnitude and step-by-step work.