Difference between revisions of "Vector dot product"
From Maths
(Created page with "The vector dot product - sometimes called the scalar product, or inner product is defined as follows: ==Definition== Given two vectors in a finite vector space {{M|a,b\in V}}...") |
(No difference)
|
Latest revision as of 02:04, 29 March 2015
The vector dot product - sometimes called the scalar product, or inner product is defined as follows:
Definition
Given two vectors in a finite vector space [ilmath]a,b\in V[/ilmath] where [ilmath]v_i[/ilmath] denotes the [ilmath]i^\text{th} [/ilmath] element of [ilmath]v[/ilmath], the dot product is defined as follows:
[math]a\cdot b=\sum^n_{i=1}a_ib_i[/math]
Other forms
Angle between vectors
[math]a\cdot b=\|a\|\|b\|\cos(\theta)[/math] where [ilmath]\theta[/ilmath] is the angle between the vectors [ilmath]a[/ilmath] and [ilmath]b[/ilmath]
