Perform vector operations, calculations, and transformations. Free online vector calculator for physics and mathematics.
Perform vector operations and calculations with our free online vector calculator. Add, subtract, multiply vectors, calculate magnitudes, and find angles between vectors.
Enter vector components above to see the calculation result.
Vectors can be expressed in terms of their x, y, and z components in 3D space.
The magnitude (length) of a vector is calculated using the Pythagorean theorem.
The direction of a vector is specified by its components or by angles.
Vectors can be added, subtracted, and multiplied (dot and cross products).
A = (3, 4, 0), B = (1, 2, 0) → A + B = (4, 6, 0)
A = (3, 4, 0), B = (1, 2, 0) → A · B = 11
A = (3, 4, 0) → |A| = 5
A vector is a mathematical object that has both magnitude (size) and direction. In physics and mathematics, vectors are used to represent quantities like force, velocity, and displacement.
To add vectors, you can use the parallelogram law or component-wise addition. For 2D vectors, add corresponding x and y components separately.
The dot product (scalar product) of two vectors is a scalar value equal to the product of their magnitudes and the cosine of the angle between them.