# Multiply vector by the scalar online calculator

*Multiplication of the vector and the scalar* is called vector,

which has following properties:

Magnitude of the resulting vector equals to the product of the magnitude of the scalar and magnitude of the initial vector:

Vectors and , are codirectional, if α > 0 and oppositely directed, if α < 0.

Product of the vector to the scalar also shares following properties:

Associativity:

Distributivity:

Distributivity relative to scalar:

## Input vector dimension

Vector dimension
2
3

Vector
representations form:
coordinates
points

Vector
= { }

Vector
:

## Input scalar

Scalar α =