Multiply a vector by a scalar

Calculator for multiplying a 3-dimensional vector and a number

Calculate vector-scalar multiplication

This function multiplies a 3-dimensional vector by a real number.

To perform the multiplication, enter the vector and real number to be multiplied and click the Calculate button. Empty fields are counted as 0.


Vector scalar multiplication calculator

 Input
VectorScalarResult
  × =
Decimal places

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:

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

Example

\(\displaystyle\left[\matrix{2\\3\\4}\right] \cdot 5 = \left[\matrix{2 \cdot 5\\3 \cdot 5\\4 \cdot 5}\right] = \left[\matrix{10\\15\\20}\right]\)
Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?