# How is the scalar multiplication defined

The scalar product of two vectors Andreas Pester University of Applied Sciences Techikum Kärnten, Villach

[email protected]**Summary**: In this section the concept of the scalar product of two vectors is explained

**Keywords**: Definition | Properties of the scalar product

The scalar product of two vectors is the multiplication of the projection of the vector _{}on the vector _{}with the amount of _{}

The scalar product of two vectors gives a scalar quantity and is defined by:

Where a is the angle between the two vectors _{} and _{}.

An example of this is:

As you can see, the result is a number (22), not a vector.

The following applies to the scalar product (if it can be calculated at all):

1) | Commutative law |

2) | Distributive law |

3) | Associative law |

**Two vectors different from the zero vector**

#### Orthogonal vectors

*and*

_{}*stand exactly then*

_{}*perpendicular*on each other, so are

*orthogonal*if its scalar product vanishes:

_{}.

**Application of the scalar product for the angle calculation:**

_{}

- Sewing machines can sew leather
- Is coaching required for IES
- Do you secretly love someone who is special?
- Is toast overcooked bread
- Who is Claire Danes
- What does safe space mean
- What is Kareem Abdul Jabbar doing now
- How is PTSD treated in animals
- Is working at Snapchat a risky choice?
- How do kakapos defend themselves
- Can the first lady be deported?
- Why is the Windows Phone over now
- What are your secret health problems
- Jaime Lannister dies in the books
- Crying drug addicts
- What are thesis topics for accounting
- Who is the best machine learning teacher
- Why China and the US support Pakistan
- What is the put method in PHP
- How do you revive a peace lily
- Why do conservatives call liberals socialists
- Why are highways not exactly straight
- Who should you forget
- What are the best transsexual drama films