Question

Let u= <4,-1> and v= <3,5>. What is |u+v| rounded to the nearest tenth?

Answer 1

First, we are going to add these two vectors.

then

We are going to calculate the argument of the result vector.

u= <4,-1> and v= <3,5>


`u+v=\ \textless \ 4,-1\ \textgreater \ +\ \textless \ 3,5\ \textgreater \ =\ \textless \ 7,4\ \textgreater \`


`|u+v|=|\ \textless \ 7,4\ \textgreater \ |= √(7^2+4^2) = √(65)`



>>rounded to the nearest tenth:
`√(65) =8.1`