![]() Namely, there is an internal operation on vectors called addition together with its negation-subtraction. The main reason why vectors are so useful and popular is that we can do operations with them similarly to ordinary algebra. This means that we are allowed to translate a vector to a new location (without rotating it) for instance, starting at the origin. Two geometric vectors are equal if they have the same magnitude and direction. The direction of the vector is from its tail to its head. The magnitude of a vector is called the norm or length, and it is denoted by double vertical lines, as ∥ a∥. \) However, we denote vectors using boldface as in a. Magnitude and with an arrow indicating the direction in space: \( \overleftarrow. It is commonly represented by a directed line segment whose length is the Recall that in contrast to a vector, a scalar has only a magnitude. In the three dimensional space is a quantity that has both magnitude and direction. The latter is heavily used in computers to store data as arrays or lists. Although vectors have physical meaning in real life, they can be uniquely identified with ordered tuples of real (or complex numbers). It also serves as a tutorial for operations with vectors This section provides the general introduction to vector theory including Introduction to Linear Algebra with Mathematica Glossary Return to Mathematica tutorial for the fourth course APMA0360 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the fourth course APMA0360 Return to computing page for the second course APMA0340 Return to computing page for the first course APMA0330 Laplace equation in spherical coordinates.Numerical solutions of Laplace equation.Laplace equation in infinite semi-stripe.Boundary Value Problems for heat equation.Part VI: Partial Differential Equations.Part III: Non-linear Systems of Ordinary Differential Equations.Part II: Linear Systems of Ordinary Differential Equations. ![]()
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