Answer :
If you know a vector’s vertical and horizontal components you have to only find hypotenuse of a right triangle.
You can use the Pythagorean theorem (x2 + y2 = h2),
h=sqrt(x2+y2)
when you know the horizontal and vertical components of a vector, you can use the tangent to find the angle because
tan(theta)=y/x
theta= inverse tangent y/x:
this will tell you direction
Answer:
The mathematical expression is [tex]v=\sqrt{v_{x}^2+v_{y}^2}[/tex]
Step-by-step explanation:
Given if we know the components of a vector, then we have to find what mathematical relationship can be used to find the magnitude of the vector.
In two-dimensional coordinate system, any vector can be broken into two components x and y -component.
[tex]v=<v_x,v_y>[/tex]
The vector v and its components horizontal and vertical components form a right angled triangle as shown in attachment below.
Using the Pythagoras Theorem in the right triangle
[tex]v^2=v_{x}^2+v_{y}^2[/tex]
⇒ [tex]v=\sqrt{v_{x}^2+v_{y}^2}[/tex]
The above mathematical relationship can be used to find the magnitude of the vector.