Jan 31, 2023 · To find this, simply compute the dot product of the force vector F F and a unit direction vector e e up along the incline: Falong incline = F ⋅ e. F along incline = F e In this context the …

Dec 28, 2018 · Your question is a bit like asking if there are rules for the direction of arrows. In physics most vectors can point in pretty much any direction, depending on the physical situation, but once …

Jul 7, 2024 · The ball's speed doesn't change, only its direction. This means the magnitude of momentum remains constant, but its direction changes. The change in momentum (and thus the …

Nov 1, 2022 · The proportion of the vector that points in each direction is unchanged; we are just rescaling the vector such that the magnitude is 1. Now, your question is: Why is this unit vector for …

Sep 21, 2021 · 0 It's somewhat unclear from your question, but I interpreted F F to be just the magnitude of the force (a scalar), and you want to construct a force of that magnitude pointing along the given …

I can see that because, by finding the angle of the vector θ = atan2 (u.y, u.x) and getting back the direction vector u = (cosθ, sinθ), the vector is not the same.

A vector could be in a plane and still take on any direction betwen 0∘ 0 ∘ and 360∘ 360 ∘ within that plane. How do we define and determine the direction of v v → given a particle's path in 3D?

The direction of the force is normal to the area, and its magnitude is proportional to the size of the area. This is why an infinitesimal area dA d A can be a vector.

Oct 5, 2021 · Look at the vis-viva equation for the magnitude of the velocity. The direction will be the tangent to the ellipse, if you can find some r(ϕ) r (ϕ) function you can take its derivative and write it in …

In the kind of exercise where they tell us to find the resultant force F =F1 +F2 F = F 1 + F 2. We can know the magnitude by calculating the x− x and y− y components, but how do we know the direction …