Given vectors v please 🙏🏽 help

Question

Given the vector vec v = langle1,3 rangle find a unit vector in the same direction as vec v

l1/10, 3/10\rangle; \

(sqrt(10))/10, (3sqrt(10))/10\rangle; \

(3sqrt(10))/10, (sqrt(10))/10\rangle;

1/6, 1/2\rangle;

1, 3\rangle

None of the above

Answer 1

v = <1 , 3 >

ll v ll = magnitude of v = √((1)²+(3)²) = √10

u = unit vector in the same direction as v

u = (1 / ll v ll)v = (1/√10) <1 , 3 > = <1/√10 , 3/√10 > = < √10/10 , 3√10/10 >