Vector Algebra

Vector Equation of a line and a Plane

Vector equations are used to represent lines or planes in a three-dimensional framework, and they are also known as vector algebra. When considering a three-dimensional plane, three coordinates with respect to three axes are required, and here vectors are useful in representing the vector equation of a line or plane more easily than they would […]

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

Vector Areas

An area vector is a vector that combines an area quantity with a direction to represent an oriented area in three dimensions in 3-dimensional geometry and vector calculus. Every bounded surface in three dimensions has a distinct area vector known as its vector area. It is different from the usual (scalar) surface area because it

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

Vector and Scalar Quantities

William Rowan Hamilton, an Irish physicist, is credited with developing vectors. Josiah Willard Gibbs and Oliver Heaviside invented vectors in their modern form. They used it to express James Clerk Maxwell’s laws of electromagnetic. Physical quantities can be classified in two ways in mathematics and physics, namely Scalar Quantity and Vector Quantity. If we pay

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

Vector Algebra

A vector is an entity with two dimensions having both a magnitude and a direction. A vector can be visualized geometrically as a directed line segment with an arrow indicating the vector’s direction and a length equal to the vector’s magnitude. The starting point of a vector is called the tail, whereas the endpoint is

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

Vector Addition Triangle, Parallelogram and Polygon Law of Vectors

In this article, we shall discuss vector addition as a concept. Vector addition is taught using the triangle law and the parallelogram law, in addition to the commutative and associative features of vector addition. Triangle law of vector addition If two vectors are represented by two sides of a triangle in magnitude and direction taken

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

Unit Vector

Varied geometric entities with magnitude and direction are known as vectors.  There are two points in vectors: a starting point and a terminal point, the latter of which reflects the point’s end location in the equation; the former is the starting point.Vectors can be used to perform a wide range of arithmetic operations, including addition,

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

Types of Vector

Vectors are geometrical entities with a magnitude and a direction that are used in geometry. A vector is represented by a line with an arrow pointing in the direction of the vector’s magnitude, and the length of the line represents the magnitude of the vector. Having stated that vectors are represented by arrows, it is

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

Subtraction of Vectors

It is possible to exert mathematical operations on the vectors to a certain extent. Some of these operations are addition, subtraction and multiplication. The division of the vectors is not supposed to be of much significance. This is so because the division of vectors can be defined as a function of inverse multiplication of the

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

Scalars and Vectors

Every scientific explanation is explained in terms of a number of physical quantities, each of which expresses a special meaning and importance in context. By definition, a physical quantity is the measurable and quantifiable physical property which has unique information. Based on the directional dependence, physical quantities can be divided into two parts which are

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