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Gram-Schmidt Orthogonalization

Convert a set of linearly independent 2D vectors into a mutually orthogonal (or orthonormal) basis using the Gram-Schmidt process. Used in linear algebra, QR decomposition, and numerical methods courses.

Vector 1 - X Component

Vector 1 - Y Component

Vector 2 - X Component

Vector 2 - Y Component

Process Step

Fill in the required fields to see your result.

Linear Algebra

Vector Cross Product Calculator

Compute the cross product of two 3D vectors A and B, returning the resulting perpendicular vector. Ideal for physics, engineering, and graphics problems involving torque, normals, or rotational axes.

Vector A - x component

Vector A - y component

Vector A - z component

Vector B - x component

Vector B - y component

Vector B - z component

Fill in the required fields to see your result.

Key differences

	Gram-Schmidt Orthogonalization	Vector Cross Product Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	6
Result	Orthogonalization Result	Cross product (x, y, z) (units)
What it does	Convert a set of linearly independent 2D vectors into a mutually orthogonal (or orthonormal) basis using the Gram-Schmidt process. Used in linear algebra, QR decomposition, and numerical methods courses.	Compute the cross product of two 3D vectors A and B, returning the resulting perpendicular vector. Ideal for physics, engineering, and graphics problems involving torque, normals, or rotational axes.