Question

Find a unit vector u with the same direction as v = : (-3, 8)

Answer 1

Given:

The vector

`v=<-3,8>`

Required:

To find the unit vector u with the same direction.

Step-by-step explanation:

Unit formula is the vector is divided by its magnitude.

Now the magnitude of v is,

`\begin{gathered} mag.v=√((-3)^2+8^2) \\ =√(9+64) \\ =√(73) \end{gathered}`

Now the unit vector is,

`u=<-(3)/(√(73)),(8)/(√(73))>`

Final Answer:

`u=<-(3)/(√(73)),(8)/(√(73))>`