Next, because you are referring the vector components in a uniform way (always matching the Mathematica pattern v_), you can define rules that will aid in simplifying them. Then you can work with the rawSol variable more easily. I tried doing the simpleminded thing: expanding the vectors into their components (pretend they're 3D) and solving them as if I were trying to equate two parametric functions, Solve[ I've looked in the VectorAnalysis package, without finding anything there that seems relevant meanwhile the Linear Algebra package only seems to have a solver for linear systems (which this isn't, since I don't know t or P, just |P|). However, I can't see how to get Mathematica to symbolically solve equations involving vectors like this. A comprehensive introduction to fundamental concepts in linear algebra, including video lessons and interactive notebooks. Now, I know how to solve this sort of thing by hand, but that's slow and error-prone, so I was hoping I could use Mathematica to speed things along and error-check me.

(Basically, given two rays A and B, where I know everything about A but only the origin and magnitude of B, figure out what the direction of B must be such that it intersects A.) Where I know A, V, and the magnitude of P, and I have to solve for t and the direction of P. Mathematica is an extremely powerful mathematical software package (or computer algebra system) that incorporates text editing, mathematical computation, and programming as well as 2D and 3D graphics capabilities. I'm trying to figure out how to use Mathematica to solve systems of equations where some of the variables and coefficients are vectors.

Linear algebra with mathematica