Multiply a vector by a scalar

Online calculator for multiplying a vector with 2 elements and a number

Calculate vector-scalar multiplication

Multiplies a vector by a real number.


Vector scalar multiplication calculator

VectorScalarResult
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Decimal places

More vector functions for 2 elements

Addition
Subtraction
Multiplication
Scalar Multiplication
Division
Scalar-Division
Scalar Product
Interpolation
Distance
Distance Square
Normalization
Length

Vector functions for 3 or 4 elements

Description of the vector-scalar multiplication

Vectors can be multiplied by real numbers. The real number is called a scalar to distinguish it from vectors.

If the scalar is positive, the resulting vector will point in the same direction as the original. If the scalar is negative, it points in the opposite direction.

Vector and scalar are multiplied by multiplying the individual elements of the vector with the scalar. Is calculated:

\(\displaystyle\left[\matrix{a\\b}\right] \cdot x = \left[\matrix{a \cdot x\\b \cdot x}\right]\)

Example

\(\displaystyle\left[\matrix{2\\3}\right] \cdot 4 = \left[\matrix{2 \cdot 4\\3 \cdot 4}\right]= \left[\matrix{8\\12}\right]\)

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