Question

How do you find the unit vector having the same direction as vector `u=3i-4j`?

Answer 1

Unit vector `-> 3/5i-4/5j`

Explanation:

This question type is asking: What would the value of i and j be if the vector length was 1.

Current vector length is `" "sqrt(3^3+(-4)^2) =sqrt(25)=5`

The | | notation means 'Cardinality' which is another name for magnitude. So

`|3i-4j|=5` but we need a length of 1 so

unit vector `= |(3i)/5-(4j)/5|=5/5 = 1`