Inner product
Definition
Consider vectors
and the angle 
formed by them.The inner product expressed as
is defined as
.If
or 
, then definition is
.Property 1
- Commutative law
- Distributive law
- Associative law
Property 2
is perpendicular.
Property 3 (plane)
- For unit vectors
in the same plane,
- If
, then
Property 3 (space)
- For unit vectors
in space,
- If
, then
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