Find a unit vector in the direction of the given vector.

w = 7i − 3j

yes, |w| = 7.62, or more exactly, √58

So, the unit vector is
7/√58 i − 3/√58 j

I am astonished when you say your teacher didn't let you make notes.
That sounds like rubbish.
And there is always your text, and google...

a unit vector always has magnitude 1.

So, divide w by |w|

can you show me how to do it?

|w| = √(7^2 + (-3)^2)

now divide the original by that magnitude.

(I am surprised you don't have examples of those
simple and fundamental problems in your text or your notes
from class)

my teacher didn't let us copy the notes down and he just explain it and that's it.

is the answer is 7.62?

still waiting??