# linear math

posted by
**Simon**
.

Let u=(2,0,k,-1) v=(-4,0,-3,2) and w= (0,1,0,0). Each answer must be justified(there is no answer where k=nothing)

a) find all values of k, (if any) for which u is orthogonal to v

b) Find all values of k (if any) for which the set {u,v,w} is linearly independent.

Find all values of k (if any) for which the set {u,v,w} is a basis of R4