Calculating Velocities After Reflection

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To calculate the velocity components of a particle after it reflects off a triangular surface, the initial velocity (Vt) and its components (Vx, Vy, Vz) are known, along with the triangle's vertices (P1, P2, P3). The normal vector of the surface can be derived from these points, which is essential for determining the reflection angle. The discussion emphasizes the desire to avoid trigonometric functions like sine, cosine, and tangent for simplicity. There is a suggestion to seek assistance from a homework section, although the original poster clarifies that this is not a homework problem. The conversation highlights the need for clarity on the relationship between the angle of impact and the resulting velocity components after reflection.
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So here's my problem... I have a particle traveling at velocity T, Vt, with components Velocity x, Velocity y, and Velocity z (3 dimensions).
This particle collides with a triangular surface. Each point of the triangle is known (x y and z for each point)
I would like to find the components of the velocity after the particle reflects off the triangle surface. (no velocity is lost so Vt remains the same)
Knowing these three points I found a vector that follows the normal angle off the surface.
You could take this vector and find the normal angle.

Known Variables:
Vt, Overall velocity
Vx, Vy, Vz, velocity components of Vt
P1, P2, P3, points of triangle (x,y,z)
Normal Vector off the surface (x,y and z components)

You could possibly find the normal angles for Z and XY, but if there's a way to do it without Sin, Cos, Tan, it would make things much easier.

Any help is appreciated as I've been stuck on this for a long time.
 
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You could try the homework section. They might be able to help you there.
 
Yeah I suppose I could. This isn't for homework, but oh well
 
Yeah, I would help you if I could, but I'm still confused on why you need any more information other than the angle of impact.
 

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