I was just wondering if there is any formal proof that two

[cyber_paradox]

i was just wondering if there is any formal proof that two perpendicular vectors don't affect each other
i mean i do know that and understand it physically
for example that gravity does not have any affect on the horizontal component of the velocity of a projectile
but is there some proof of this

 

[Studiot]

Hello cyber paradox, welcome to physics forums.

What do you think about it?

 

[cyber_paradox]

thanks
i think there must be some proof of it.

 

[cyber_paradox]

do you know any?

 

[Polyrhythmic]

You basically said it yourself. Orthogonal vectors can't be projected onto each other, their inner product equals zero. I don't think this can be proven any further, it's quite trivial.