# Is a vector in a vectorspace its own projection onto that vectorspace?

1. May 7, 2012

### NoOne0507

If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?

2. May 7, 2012

### tiny-tim

Hi NoOne0507!

If you mean "if V is a subspace of vectorspace W and v is a vector in V will the projection of v onto V be v?", the answer is, yes.