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Gram-Schmidt Process Calculator

Transform a set of linearly independent vectors into an orthogonal or orthonormal basis using the Gram-Schmidt process. Useful in linear algebra courses, QR decomposition, and signal processing applications.

Normalization

Vector 1 - X component

Vector 1 - Y component

Vector 2 - X component

Vector 2 - Y component

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 Process Calculator	Vector Cross Product Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	6
Result	First Orthogonal Vector Magnitude	Cross product (x, y, z) (units)
What it does	Transform a set of linearly independent vectors into an orthogonal or orthonormal basis using the Gram-Schmidt process. Useful in linear algebra courses, QR decomposition, and signal processing applications.	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.