Question

Find the component form of the sum of u and v with direction angles u and v.

Answer 1

We will have the following:

`\begin{gathered} U_x=14cos(45) \\ \\ U_y=14sin(45) \\ \\ V_x=80cos(180) \\ \\ V_y=80sin(180) \end{gathered}`

Then:

`\begin{gathered} \sum_x=(14√(2))/(2)+(-80)\Rightarrow\sum=7√(2)-80 \\ \\ \sum_y=(14√(2))/(2)+(0)\Rightarrow\sum=7√(2) \end{gathered}`

So, the component form for the sum of the vectors will be:

`u+v=(7√(2)-80)i+(7√(2))j`