All vectors are in r^n. check the true statements below: a. if the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal. b. a matrix with orthonormal columns is an orthogonal matrix. c. not every linearly independent set in rn is an orthogonal set. d. if y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix. e. if l is a line through 0 and if y^ is the orthogonal projection of y onto l, then ||y^|| gives the distance from y to l.