Vector Algebra

A vector is a two-dimensional object with both magnitude and direction. A vector can be illustrated geometry as a directed line segment with an arrow pointing in the right direction and a length equal to the vector’s magnitude. The vectors direction is from the tail to the head. At right angles, perpendicular lines cross each […]

The method of multiplying two vectors is called the cross product. It’s a three-dimensional binary vector operation. The third vector that is perpendicular to the two original vectors is the cross product of two vectors. Its magnitude is determined by the area of the parallelogram between them, and its direction is determined by the right-hand

Cross products are the results of vectors multiplied together. The magnitude of the Cross product of two vectors is equal to the product of the magnitude of two vectors and the sine of the smaller angle between the two vectors. A multiplication sign represents the cross products. Since the result of multiplying two vectors is

In mathematics and physics, a vector is an element of a vector space that has a specific direction. The vectors have been given specific names in a number of specific vector spaces. An arbitrary starting point is chosen for the sake of convenience, and a Euclidean vector is a geometric object that has both length

It is quite normal for a person to wonder if one can apply the methods of division on a pair of vectors similar to the other mathematical operations. However, the answer to that question just might not be what you are looking for. We can add, subtract and multiply two vectors, however, the same can

A divisor is a number that divides another number into two parts or fractions. We are unable to divide numbers unless we have a divisor. The phrases divisor remainder quotient are all significant terms in the division since they are used to represent different parts of the whole. The division is a means of dividing

In linear algebra, eigenvalues go hand in hand with eigenvectors. When looking at linear transformations, both eigenvalue and eigenvector are used.  Eigenvalues are a unique collection of scalar values linked to a set of linear equations, most commonly in matrix equations. The characteristic roots refer to eigenvectors. After applying linear transformations, it is a non-zero

Taking the dot product of two or more vectors is one method of multiplying them. The scalar quantity produced by the dot product of two vectors is called the resultant. As a result, the dot product is also referred to as a scalar product. Algebraically, it is the sum of the products of the corresponding

It is an algebraic operation in mathematics that takes two equal-length sequences of numbers (typically coordinate vectors) and returns a single number as a result of the operation. When Cartesian coordinates are used, these definitions are equivalent to one another. In modern geometry, vector spaces are frequently used to define Euclidean spaces, which is a

The dot product, also known as the scalar product, forms an algebraic equation in mathematics. Two equal-length sequences are taken in this operation, and a single number is returned. This term dot product has been derived from the dot “.” The substitutive term scalar product combines two vectors where the result is scalar rather than