Projection of a vector being spanned

Question

Find the Projection of [2,4,1,3] on to W spanned by {[.7,.1,.7,.1],[.7,.1,-.7,-.1]}.

What would be the equation to start the process?

Is it (((y*v1)/v1*v1))v1)+ (((yv2)/v2*v2))*v2)

Answer 1

$ V_{0} = s \cdot [0.7, 0.1,0.7, 0.1] + t \cdot[0.7,0.1,-0,7,-0.1] $

$ V-V_{0} \perp [0.7, 0.1, 0.7, 0.1], \ \ V- V_{0} \perp [0.7,0.1,-0.7,-0.1] $

Find $ s, t. $

or

Gramm-Schmidt ortogonalization.