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9.4 MATH REVIEW


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Aside: recall the following terms when discussing vectors and algebra,

- head/tail OR terminus/origin





- line of action






- fixed/sliding/free vectors






- colinear






- coplanar






- concurrent






- resultant






- commutative/associative






- sine law (law of sines)






- cosine law (law of cosines)






- basic sin, cos, tan relationships - in triangle






- orthogonal - cartesian






- pythagorean formula






- unit vectors






- right/left handed coordinates - coordinate axes and positive rotations






- cross products






- dot products






- identity matrix






- matrix multiplication, addition, subtraction, division with matrices/scalars






- matrix determinants






- matrix inversion






- matrix transpose






- equation solutions in matrix form: gauss-jordan row reduction; cramer's rule






- parametric equations






- plug-and-chug solutions: trial and error, Newton-Raphson






- inequalities: greater than, less than, etc.






- differential calculus






- integration single and double, and selecting elements rectangular, triangular, cylindrical






- developing linear equations







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