Respuesta :

Note: You did not provide the the diagram you referred to but i will explain how to find the magnitude of the resultant of two vectors, you can then put your own values whenever you have them.

Answer:

For any, [tex]\bar{A} = (A_{x} , A_{y})[/tex], and [tex]\bar{B} = (B_{x} , B_{y})[/tex], the magnitude of the resultant will be  [tex]\mid \bar{R} \mid= \sqrt{(A_{x} + B_{x})^{2} +( A_{y} + B_{y})^{2} }[/tex]

Step-by-step explanation:

The resultant of two vectors [tex]\bar{A}[/tex] and [tex]\bar {B}[/tex] is the addition of the two vectors

I.e. [tex]\bar{R} = \bar{A} + \bar{B}[/tex]

If[tex]\bar{A} = A_{x} i + A_{y} j[/tex]  and [tex]\bar{B} = B_{x} i + B_{y} j[/tex] , then

[tex]\bar{R} = (A_{x} + B_{x})i +( A_{y} + B_{y})j[/tex]

The magnitude of the Resultant will then be :

[tex]\mid \bar{R} \mid= \sqrt{(A_{x} + B_{x})^{2} +( A_{y} + B_{y})^{2} }[/tex]