Linear Algebra

Vector Projection

Projection of u onto v.

Formula

Formula
proj_v u = (u·vv·v) v

Variables

SymbolDefinitionType & rangeUnitsRole
u vector to project list of real numbers input
v direction vector list of real numbers input

Try it yourself

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

Worked examples

Example 1
Givenu = 3, 4, v = 1, 0
Result[ 3, 0 ]
Example 2
Givenu = 2, 2, v = 0, 3
Result[ 0, 2 ]