Vectors: Definition, Zero Vector, Vector Addition, Triangle Law, and Parallelogram Law

Math Easy Solutions

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description

In this video I go over the definition of vectors as well as combining vectors or vector addition. A vector is a quantity that has both a magnitude and direction. Examples of vectors include displacement, velocity, and force. They are usually represented by an arrow, with the length of the arrow indicating its magnitude. If two vectors have the same magnitude and direction, they are said to be equal even if they are in different positions in space. The zero vector is the only vector with no specific direction since it has a magnitude of zero. Adding vectors is defined as just placing a vector's tail onto another vectors head. From this definition arise the Triangle Law and Parallelogram Law.

Note that I will label vectors either in bold font or with an arrow above the symbol.

The timestamps of key parts of the video are listed below:

Definition of a Vector: 0:00
Combining Vectors: 2:44
Definition of Vector Addition: 4:01
- Triangle Law: 4:52
- Parallelogram Law: 5:39
Example 1: 8:19

This video was taken from my earlier video listed below:

Vectors and the Geometry of Space: Vectors: https://youtu.be/0lJiVlKw4Kc
Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-vectors
Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EiRECLVkBCcFhSpbSz8XIw