MilanniY547012 MilanniY547012
  • 25-10-2022
  • Mathematics
contestada

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

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

Respuesta :

TimberlyC722698 TimberlyC722698
  • 25-10-2022

We will have the following:

[tex]\begin{gathered} U_x=14cos(45) \\ \\ U_y=14sin(45) \\ \\ V_x=80cos(180) \\ \\ V_y=80sin(180) \end{gathered}[/tex]

Then:

[tex]\begin{gathered} \sum_x=\frac{14\sqrt{2}}{2}+(-80)\Rightarrow\sum=7\sqrt{2}-80 \\ \\ \sum_y=\frac{14\sqrt{2}}{2}+(0)\Rightarrow\sum=7\sqrt{2} \end{gathered}[/tex]

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

[tex]u+v=(7\sqrt{2}-80)i+(7\sqrt{2})j[/tex]

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