Calculus II/Vector Algebra Operation
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Definitions of a vector
[edit | edit source]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
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
[edit | edit source]A Vector sum of 2 vectors
Example
Substraction of 2 vector
[edit | edit source]A Vector difference of 2 vectors
Example
Multiplication by a scalar
[edit | edit source]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,