Question

Which one of the following is a unit vector?(A) <1, 1>(B)<1/2,1/2>(C)<3/5,4/5>(D) None of the above

Answer 1

Remmeber that

unit vector is a vector having magnitude of 1

so

Verify each option

(A) <1, 1>

magnitude^2=2 ------->magnitude=√2

is not a unit vector

(B)<1/2,1/2>

magnitude^2=(1/2)^2+(1/2)^2

magnitude^2=1/2 -----> magnitude=1/√2

is not a unit vector

(C)<3/5,4/5>

magnitude^2=(3/5)^2+(4/5)^2

magnitude^2=9/25+16/25

magnitude^2=25/25

magnitude=1

Is a unit vector

therefore

answer is option C