# Math Help - Finding a Unit Vector

1. ## Finding a Unit Vector

Hello.

I have to find a unit vector in a direction of a given vector, which is listed below:

w = i - 2j

What I did was i plugged in < 1, 0> for i and < 0, 1> for j. I got

< 1, -2 >

but I'm not sure how to proceed.

Any help will be appreciated.

2. Originally Posted by mathgeek777
to find a unit vector in a direction of a given vector
Step 1. Find the length of the given vector.
Step 2. Multiply the vector by in inverse of its length.

$\frac{w}{{\left\| w \right\|}}$