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Both calculators run independently — change the inputs on either side to compare results.

Vector Projection Calculator

Compute the vector projection of u onto v in 2D or 3D space, returning each component of the projected vector. Useful in physics, computer graphics, and linear algebra when decomposing forces or vectors along a given direction.

Vector u - X Component

Vector u - Y Component

Vector u - Z Component

Vector v - X Component

Vector v - Y Component

Vector v - Z Component

Projection Component

Fill in the required fields to see your result.

Linear Algebra

Vector Dot Product Calculator

Compute the dot product of two 3D vectors as v1·v2 = v1x·v2x + v1y·v2y + v1z·v2z. Use it to measure projection, test orthogonality, or compute angles via the cosine formula.

Vector 1 - X component

Vector 1 - Y component

Vector 1 - Z component

Vector 2 - X component

V2 Y

V2 Z

Fill in the required fields to see your result.

Key differences

	Vector Projection Calculator	Vector Dot Product Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	7	6
Result	Vector Projection	Dot Product
What it does	Compute the vector projection of u onto v in 2D or 3D space, returning each component of the projected vector. Useful in physics, computer graphics, and linear algebra when decomposing forces or vectors along a given direction.	Compute the dot product of two 3D vectors as v1·v2 = v1x·v2x + v1y·v2y + v1z·v2z. Use it to measure projection, test orthogonality, or compute angles via the cosine formula.