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Multiply a Vector by a Scalar




 

A scalar quantity has a magnitude but no direction.

In vectors, a fixed numeric value is called a scalar.
A vector can be multiplied by a scalar.
When a vector x is multiplied by 3, the result is 3x.
When a vector x is multiplied by –2, the result is –2x.

In the above examples, 3 and –2 are scalars.

Related Topics:
Vectors, Scalar Multiplication of Vectors

Diagram of scalar multiplication of a vector, positive scalar


Diagram of scalar multiplication of a vector, negative scalar



Diagram of scalar multiplication of a vector, fractional scalar


Video

Showing geometrically what multiplication of a vector by a scalar is.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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