Vector Algebra

All About Cross Product of Parallel Vectors

In three-dimensional space, the cross product is a binary operation on two vectors. It generates a perpendicular vector to both vectors. The two vectors are parallel if the cross product of their cross products is zero; otherwise, they are not. The condition that two vectors are parallel if and only if they are scalar multiples […]

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Class 12, IIT JEE, Maths, Scalar and vector products, Vector Algebra

All About Collinear Vectors

Vector algebraic ideas such as collinear vectors are considered to be amongst the most essential in the field. A collinear vector is a vector that occurs when two or more of the supplied vectors occur along the same line in the same direction as one another. Two parallel vectors might be considered collinear vectors since

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Algebraic Identities

Algebra is essentially the practice of performing arithmetic-like operations with non-numerical mathematical objects. However, until the nineteenth century, algebra was primarily concerned with the theory of equations. The fundamental theorem of algebra, for example, belongs to the theory of equations and is no longer considered to be part of algebra. Definition: – The algebraic equations

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Algebraic Expressions Identities

One of the most fundamental chapters in basic mathematics is algebra.Algebraic Identities are introduced to students in the lower grades, at the high school level, and then in the upper grades, where they acquire greater levels of algebraic Identities.Algebraic identification is a vast concept that can be applied to many different aspects of a student’s

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Algebra Symbols

Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a thread that runs through practically all of mathematics.  Elementary algebra is the branch of mathematics that deals with manipulating variables as if they were numbers, and is hence necessary for all mathematical applications. The study of algebraic

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Algebra Formulas

Algebra is a mathematical idea derived from the Arabic word al-jabr, which means ‘reunion of fractured parts, bone setting.’ Algebra is a comprehensive topic in mathematics that studies mathematical symbols and the rules for manipulating these symbols in formulas. It is a common thread that runs through practically all of mathematics. Elementary algebra is required

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Algebra

Algebra is a field of mathematics that aids in the depiction of problems and situations using mathematical expressions. To construct a meaningful mathematical statement, it uses variables like x, y, and z, as well as mathematical operations like addition, subtraction, multiplication, and division. All branches of mathematics, including trigonometry, calculus, and coordinate geometry, employ algebra.

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A Simple Note on Magnitude of Cross Product

As the angle between the two original vectors changes, the magnitude of the cross product of two vector quantities varies. The vector product of two vectors is another name for the cross product. The area of the parallelogram that they determine is the magnitude of a cross product. The cross product has an orthogonal (perpendicular)

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Class 12, IIT JEE, Maths, Scalar and vector products, Vector Algebra

A Simple Note on Cross Product of Two Vectors

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

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A Short Note on Vectors Definition

Vectors are two-dimensional geometrical entities with magnitude and direction. A vector’s magnitude is determined by its length, which is expressed by a line with an arrow pointing in the direction of the vector. As a result, vectors are represented by arrows, and they have initial and terminal points. Over the course of 200 years, the

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Class 12, IIT JEE, Maths, Scalar and vector products, Vector Algebra