Linear Algebra

Angle Between Vectors

Angle (degrees) between two vectors.

Formula

Formula
cos θ = u·vuv

Variables

SymbolDefinitionType & rangeUnitsRole
u first vector list of real numbers input
v second vector list of real numbers input
θ angle in degrees computed result result

Try it yourself

Interactive calculator
comma or space separated numbers
comma or space separated numbers
Result

Worked examples

Example 1
Givenu = 1, 0, v = 1, 1
Result45
Example 2
Givenu = 1, 0, 0, v = 0, 1, 0
Result90