Vector operations (2D / 3D)

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Enter components for $\mathbf{u}$ and $\mathbf{v}$. Compute the dot product, a 3D cross product, Euclidean magnitude, or a unit vector in the same direction.

Dimension

Vector u

u₁ u₂ u₃

Vector v

v₁ v₂ v₃

Operation

What it computes. Standard Euclidean vector algebra in $\mathbb{R}^2$ or $\mathbb{R}^3$.

Limitations. Cross product needs 3D. The zero vector has no unit vector. See the disclaimer.