Answer :
[tex]\frac{-3i+2j-k}{\sqrt{14}}[/tex]
Unit Vector
- A vector is a quantity with both magnitude and direction. A unit vector is one with a magnitude of one.
- A vector is often represented by an arrow with the same direction as the amount and a length proportional to the magnitude of the quantity.
- Unit vector that has the same direction as [tex]xi+yj+zk[/tex] is given by [tex]\frac{xi+yj+zk}{\sqrt{x^2+y^2+z^2}}[/tex]
- Given vector is [tex]-3i+2j-k[/tex] . So, unit vector is calculated as follows:
[tex]\frac{-3i+2j-k}{\sqrt{9+4+1}}=\frac{-3i+2j-k}{\sqrt{14}}[/tex]
For more information:
https://brainly.com/question/17108011?referrer=searchResults