What are geometric vectors?

Geometric vectors are mathematical representations of magnitude and direction in space. They are commonly used in physics and engineering to describe physical quantities such as velocity, force, and displacement. Geometric vectors have both magnitude, which is the length or size of the vector, and direction, which is indicated by an arrow. They can be represented graphically as directed line segments or algebraically as ordered pairs or triplets of numbers. Geometric vectors follow certain laws of vector addition and multiplication, allowing for operations such as adding, subtracting, and scaling vectors. They also have properties such as normalization and dot product, which enable calculations involving angles and projections. Overall, geometric vectors provide a powerful mathematical tool for analyzing and solving problems in various scientific and engineering disciplines.

This mind map was published on 28 November 2023 and has been viewed 109 times.