All vectors are in rn. check the true statements below:

a. for any scalar c, u* (cv) = c(u*v).

b. for a square matrix a, vectors in col a are orthogonal to vectors in nul a.

c. if vectors v1; : : : ; vp span a subspace w and if x is orthogonal to each vj for j = 1; : : : ; p, then x is in w(

d. if the distance from u to v is equal to the distance from u to -v, then u and v are orthogonal.

e. v*v =llvll^ 2