Question

How do you find a unit vector of i-3j?

Answer 1

`=1/sqrt10i-3/sqrt10j.`

Explanation:

For a given non-null vctr. `vecv`, unit vctr. in its direction is given by, `vecv/||vecv||`.

For our `vecv=i-3j!=vec0`, we have `||vecv||=sqrt{1^2+(-3)^2}=sqrt10`

Hence, the reqd. unit vector`=1/sqrt10i-3/sqrt10j.`