An architect accepts a commission from a client. The commission might involve preparing feasibility reports, building audits, the design of a building or of several buildings, structures, and the spaces among them. The architect participates in developing the requirements the client wants in the building.
Dimension (vector space) In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field. For every vector space there exists a basis, and all bases of a vector space have equal cardinality; as a result, the dimension of a vector space is uniquely defined.
Every vector has a magnitude or length, which can be found using Pythagora's theorem: |v| = sqrt(x^2 + y^2 + z^2) This is basically the length of a line from the origin to the point expressed by the vector. A vector is normal if its length is 1. That's it! To normalize a vector means to change it so that it points in the same direction (think of that line from the origin) but its length is one.