4. Practice 3 Report
vector space (or linear space)
is the basic object of study in the branch of mathematics called linear algebra. The operations we can make between them are the vector sum and scalar multiplication, dot product, vector product and scalar triple product with some natural constraints such as closure of these operations, the association of these and the combination of these operations, following this, come to the description of a mathematical structure called space vector.
Vector Field
In mathematics a vector field is a construction in vector calculus which associates a vector to each point in Euclidean space. Vector fields are often used in physical, model speed and direction of a moving fluid throughout space, or the intensity and direction of some force, such as electromagnetic or gravitational force, they change point about. The rigorous mathematical treatment, vector fields on manifolds are defined as sections of the tangent bundle of the variety.
Ring
In algebra, a ring is an algebraic structure consists of a set and two operations that are linked together through distributive properties, so that generalize the concepts of number, especially in the sense of "interoperability."
The rotation axis is:
x '= x
y' = y cos (q) - z sin (q)
z '= y sin (q) + z cos (q)
The rotation axis is:
x '= x cos (q) + z sin (q)
y' = y
z '=-x sin (q) + z cos (q)
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