Subtração de Vetores
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
diferença
About this calculator
The vector subtraction calculator performs the subtraction operation between two vectors, calculating the difference component by component. Given two vectors u and v, the result u - v is obtained by subtracting each coordinate of v from the corresponding coordinate of u. This tool is useful for students and professionals working with linear algebra, physics, or computer graphics.
To use the calculator, enter the coordinates of vectors u and v in the appropriate format (e.g., as lists of numbers). The calculator supports vectors of any dimension, as long as both have the same number of components. The result is displayed immediately, making it easy to verify manual calculations or solve problems.
Vector subtraction is applied in various areas, such as determining relative displacements in physics, the difference between forces, or obtaining direction vectors in geometry. It is important to remember that subtraction is not commutative, meaning u - v is different from v - u, the latter being equal to -(u - v).
Cautions when using the calculator: ensure that the vectors have the same dimension; otherwise, the operation is not defined. Also, verify that the entered values are valid numbers. The calculator does not handle vectors represented in polar or spherical coordinates; they must be in Cartesian coordinates.
Frequently asked questions
What happens if the vectors have different dimensions?
Vector subtraction is only defined for vectors of the same dimension. If the vectors have different sizes, the calculator will display an error.
How do I enter vectors with negative coordinates?
Simply type the number with a minus sign, e.g., -3. The calculator accepts integers and decimals.
Does the calculator support 3D or higher-dimensional vectors?
Yes, the calculator works for vectors of any dimension, as long as both have the same number of components.
What is the difference between vector subtraction and vector addition?
In subtraction, you subtract the coordinates of v from those of u; in addition, you add them. Geometrically, u - v corresponds to the vector from the tip of v to the tip of u.
Can the result of subtraction be the zero vector?
Yes, if u and v are equal, the subtraction results in the zero vector (all coordinates zero).