For reasons I don't want to explain i need to figure out what the author of this paper was thinking when he wrote the following equation 9.5 in this Paper.
I know he is trying to find the tangent at first but later on he seems to be adding scalars to get vectors as well as magically creating variables
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Va_newParallel = -elast * Vector.Dot(VaRel, normal); //This supposedly returns a vector
va_newPerp = vFriction * vPerp; //i am guessing vFriction is the coefficient of friction
vaNew = Va_newParallel +va_newPerp ;