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rigon
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Please can somebody help me to find video tutorials or e-books for these
Vector algebra is a branch of mathematics that deals with the manipulation and properties of vectors. Vectors are mathematical objects that have both magnitude and direction, and are commonly used to represent physical quantities such as displacement, velocity, and force.
Analytical geometry in space, also known as three-dimensional analytic geometry, is a branch of geometry that deals with the study of geometric shapes and their properties in three-dimensional space. It uses algebraic techniques to analyze geometric figures and their relationships.
The basic operations in vector algebra include vector addition, vector subtraction, scalar multiplication, and the dot product and cross product. Vector addition and subtraction involve finding the resultant vector of two or more vectors, while scalar multiplication involves multiplying a vector by a scalar quantity. The dot product gives a scalar quantity that represents the magnitude of the projection of one vector onto another, while the cross product gives a vector that is perpendicular to both vectors and has a magnitude equal to the product of their magnitudes and the sine of the angle between them.
In analytical geometry, a vector is represented as an ordered set of numbers, known as its components, in a coordinate system. The components can be represented as either column or row vectors, and can be added or subtracted using the rules of vector addition and subtraction.
Vector algebra and analytical geometry have many applications in science, engineering, and other fields. They are used in physics to describe the motion of objects, in computer graphics to create 3D images, in engineering to design structures and machines, and in navigation to determine the position and direction of objects. They are also used in physics and engineering to solve problems involving forces, torque, and other physical quantities.