Trying to solve this but i dont understand too well how linear independece works and i can't find a way to solve this :/.

With U1=(1,0,1) abd U2=(1,1,-1). What is the vector V such that {U1,U2,V} are linear independents.

a)(2,1,2)

b)(1,-2,5)

c)(3,2,-1)

d)(3,1,1)

How do i solve this :/??