Vector Algebra

Non-Commutativity and Non-Associativity

Cartesian Product The ordered product of two non-empty sets is known as the Cartesian product of sets. Consider two non-empty sets, Non-Commutativity The commutative property asserts that the numbers we work with can be relocated or changed from their initial locations without affecting the result. This characteristic applies to addition and multiplication but not to […]

Non-Commutativity and Non-Associativity Read More »

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

Negative of a Vector

Negative vectors have the same magnitude as their corresponding positive vectors, but they are directed in the opposite direction. It is obtained by multiplying the given vector by a factor of one hundred. The negative of a vector and the given vector are exactly in the same direction as each other. Let us learn more

Negative of a Vector Read More »

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

Multiplication of Vectors with Scalar

Vector multiplication with a scalar quantity In the presence of a scalar quantity, the magnitude of a vector varies in proportion to the magnitude of the scalar, but the direction of the vector does not change at all. Vectors and Scalars are multiplied Contrary to their representation of various sorts of physical attributes, vectors and

Multiplication of Vectors with Scalar Read More »

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

Multiplication of Vectors

Vectors are objects in mathematics that have both magnitude and direction associated with them. The size of the vector can be determined based on its magnitude. It is depicted as a line with an arrow attached to it; the arrow indicates the direction in which the vector will move. If the magnitude and direction of

Multiplication of Vectors Read More »

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

Multiplication of a Vector by a Scalar

A number is always the measured value when we measure a physical quantity. This number makes sense only when the corresponding unit is supplied. As a result, a measurement’s result has a numerical value as well as a unit of measurement. A body’s mass, for example, is 3 kilogrammes. A quantity with the numerical value

Multiplication of a Vector by a Scalar Read More »

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

Magnitude of a Vector

Magnitude has different meaning in different areas like an earthquake having large magnitude means it was very powerful and devastating, or the amount of energy released is very high, in mathematics, magnitude relates numbers by power of 10. Sometimes it defines relative size etc.    The Physical quantities can be divided into two sub-categories and they

Magnitude of a Vector Read More »

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

Magnitude of a vector

A vector formula’s magnitude aids in summarizing the numerical value of a given vector. A vector has a magnitude and a direction. This magnitude of a vector formula summarizes the individual vector measures along the x-axis, y-axis, and z-axis. It is represented by the letter |v|. A vector’s magnitude is always a positive number or

Magnitude of a vector Read More »

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

Introduction to Vector Multiplication

Vector multiplication can be divided into two categories. A vector has both a magnitude and a direction, and as a result, the dot product of two vectors and the cross product of two vectors are the two methods of multiplying vectors. Because the resultant value is a scalar quantity, the dot product of two vectors

Introduction to Vector Multiplication Read More »

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

How Vectors can be Used in Daily Life Situations

What to do after 10th? The study of mathematics is essential to the discipline of physics. The essential conceptions and principles are supported by a mathematical foundation. As we progress through our studies of physics, we will encounter a wide range of concepts that are underpinned by mathematical principles. Words can be used to adequately

How Vectors can be Used in Daily Life Situations Read More »

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

How Vector Addition can be Used in Daily Life

Vectors play a crucial role in Physics and Mathematics as well as our daily lives. These help us in getting an accurate measure of the outcome of an action. And, this outcome includes the magnitude and direction of that reaction as well. When two or more two vectors are added, the resultant of all those

How Vector Addition can be Used in Daily Life Read More »

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