Question

Let H be the set of all vectors of the form:
-3t
0
5t
Find a vector v in R3 such that H = span {v}.

Answer 1

just pull the t out:
(-3t, 0, 5t) = t(3, 0, 5)
so a vector that spans all of H would be the vector (3, 0, 5)

Answer 2

whoops, forgot that negative sign >.<

Answer 3

(-3, 0, 5)

Answer 4

thanks really appreciate it!!