Vector
A mathematical object with both magnitude and direction.
Definition
A vector is a mathematical object characterized by both a magnitude (size) and a direction, distinguishing it from a scalar quantity that has only magnitude. Vectors can be represented geometrically as arrows or algebraically as ordered tuples of numbers. Vector operations include addition, scalar multiplication, dot product, and cross product. Vectors are foundational to physics, engineering, computer graphics, and machine learning.
Example
“A meteorologist describes wind as a vector quantity, specifying both its speed (magnitude, e.g., 30 km/h) and direction (e.g., from the northwest), because knowing just the speed without the direction is insufficient to predict weather patterns.”
Usage Examples
- 1
“The team applied vector best practices to improve their mathematics outcomes significantly.”
- 2
“Understanding vector is essential for anyone building a career in STEM.”
When & How to Use
Use 'Vector' when working in Mathematics contexts where a vector is a mathematical object characterized by both a magnitude (size) and a direction, distinguishing it from a scalar quantity that has only magnitude.
- ▸Applying vector principles during a mathematics project or initiative
- ▸Explaining vector to a junior team member or stakeholder unfamiliar with STEM
- ▸Evaluating options or proposals using vector as a decision-making criterion
Etymology & Origin
The term 'Vector' derives from Latin roots and entered STEM professional usage as the field formalised in the 20th century.
History & Evolution
The concept of vector has evolved alongside STEM. Early practitioners relied on informal methods; structured approaches emerged with the professionalisation of mathematics in the mid-20th century. Today, vector is a standard part of STEM practice globally.
Synonyms
- directed quantity
- geometric vector
- magnitude-direction quantity
Antonyms / Opposites
- scalar
Images
CC-licensed · free to useVideo
Related Terms
- Matrix
- Scalar
- Dot Product
- Force