Say I know the x and y components, how do i go about finding the diagonal one?

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SUMMARY

To find the initial velocity (V) given the x and y components of a vector, where the y component is 120 m/s and the x component is 50 m/s, use the formula V = sqrt(x² + y²). This approach utilizes the Pythagorean theorem, which states that the magnitude of a vector with perpendicular components can be calculated by taking the square root of the sum of the squares of its components. The relationship between the components and the angle θ is not necessary for this calculation.

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Homework Statement


^--------------^
|..../
|.../
|.../
|.../
|.../
|.../
|/_____________> ignore the dots

If my y component is 120m/s and my X component is 50m/s, how do I go about finding initial V??


Attempt:

i know that the y component = sin(O)*V
and the x= cos (O) *V

So that must mean that
V= x/cos(O)
AND
V= y/sin(O)

so maybe just maybe: x/cos(O)=y/sin(O)

But i don't know theta. and I am not looking for it either.
^--------------^
|..../
|.../
|.../
|.../
|.../
|.../
|/_____________> ignore the dots
 
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A vector with perpendicular components x and y has magnitude sqrt(x2 + y2).
 

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