Find a vector v in R3 such that H=span(v)

Question

Let H be the set of all vector of the form [-4s,-3s,5s]. Find a vector v in R³ such that H=span {v}

v=?

Answer 1

H=span{v}={cv|c ∈R}={(-4s,-3s,5s)| s∈R}. so clearly v=(-4,-3,5) satisfies the requirement