Question

What is the unit vector in the direction of the vector (60,80)?

Answer 1

`((0.6),(0.8))`

Explanation:

A unit vector in the same direction as some vector `a`, can be expressed as:

`hat(a)= a/||a||`

Let `a =((60),(80))`

`||a||=sqrt((60)^2+(80)^2)=sqrt(10000)=100`

`hata=a/||a||=1/100*((60),(80))=((0.6),(0.8))`