< Calculus II
Definitions of a vector
A vector is a mathematical concept that has both magnitude and direction. A vector is an object that has certain properties:
- Magnitude (or length) denoted as A
- Direction . denoted as a
ː
A vector of length X pointing from left to right horizontally
A vector of length X pointing from bottom to top vertically
From above, A vector of length X pointing from left to right horizontally
Addition of 2 vector
A Vector sum of 2 vectors
Example
ː
Substraction of 2 vector
A Vector difference of 2 vectors
Example
Multiplication by a scalar
Multiplication of a vector by a scalar has the effect of stretching or shrinking the vector (see Figure 2(b)).
You can form a unit vector that is parallel to by dividing by the length of the vector . Thus,
This article is issued from Wikiversity. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.