Question

Given the vectors `u=<2,2>`, `v=<-3,4>`, and `w=<1,-2>`, how do you find `2-||u||`?

Answer 1

`2 - 2 sqrt(2)`

Explanation:

We have: `u = <2, 2>`

`=> 2 - abs(u) = 2 - abs(<2, 2>)`

`=> 2 - abs(u) = 2 - sqrt(2^(2) + 2^(2))`

`=> 2 - abs(u) = 2 - sqrt(4 + 4)`

`=> 2 - abs(u) = 2 - sqrt(8)`

`=> 2 - abs(u) = 2 - 2 sqrt(2)`