Question

show that a vector =i^-j^+k^\√3 is a unit vector​

Answer 1

Here,

Magnitude of just i^ -j^ +k^ = √{1^2 + (-1)^2 + 1^2} = √{1+1+1} = √3

So magnitude of i^ -j^ +k^/√3 = √3/√3 = 1

And since we know unit vector has 1 as magnitude so

The given vector is a unit vector