Frequently Asked Questions
Everything you need to know about the Vector Calculator.
What operations are supported?
Addition, subtraction, scalar multiplication, dot product, cross product (3D), magnitude, unit vector, and angle between vectors.
Does it support 2D and 3D vectors?
Yes, toggle between them; cross product is only available in 3D since it's undefined in 2D.
How is the angle between vectors calculated?
Using cos θ = (u·v)/(|u||v|), then taking the inverse cosine — shown in both degrees and radians.
What if one vector is the zero vector?
The angle is undefined in that case, and the tool flags this clearly rather than dividing by zero.
Does it show a visualization?
Yes, a 2D plot shows both vectors as arrows from the origin, plus the sum vector.
Does it show the steps?
Yes, component-wise arithmetic and the cross-product determinant expansion are shown.
What is a unit vector?
A vector with the same direction but magnitude 1, computed as v / |v| — shown for both input vectors.
Are results shown as fractions or decimals?
Decimal values rounded to a sensible precision.
Is it free?
Completely free, no sign-up or limits.
Does it work on mobile?
Yes, fully responsive.