Completeness of a set of basis vectors in 3D Euclidean space.

[bossman007]

Homework Statement

The problem is Exercise 2 in the picture

[PLAIN]http://postimage.org/image/3ou3x1sh7/ [/PLAIN]

Homework Equations

The hint says: can you express and three-dimensional vector in terms of just two linearly independent vectors?

The Attempt at a Solution

I have no idea where to begin...

 

[bossman007]

does this have to do with gram-schmidt processes? Any tips on just how to begin? I find my hint very confusing because this is a meth methods in physics class that moves at a pace faster than an F1 fighter jet :(

 

[HallsofIvy]

What is the dimension of Euclidean three-space? What is the definition of dimension?