Dot products are used to rotate reference frames and their use can be seen in examples and demonstrations in the dynamics, numerical methods, and aeroelasticity sections. Its use is also seen in mathematical rules, as illustrated in the theory section of cross products.

Well-known simulation codes include VABS, DYMORE, FUN3D and OVERFLOW use dot products in their mathematical derivations. These codes are used on fixed-wing vehicle, rotary-wing vehicle, launch vehicle, automotive, wind energy, and naval applications.