To specify the location of a point in space, a coordinate system must be used. A coordinate system consists of a reference point called the origin O and a set of labeled axes. The positive direction of an axis is in the direction of increasing numbers, whereas the negative direction is the opposite. different types […]

## Conditions of Perpendicular and Parallel Vectors

Conditions of Perpendicular and Parallel Vectors are as follows: Nonzero vectors A and B are perpendicular if A · B = 0 or Ax Bx +Ay By+Az Bz = 0 Nonzero vectors A and B are parallel if A×B = 0. For any two parallel vectors A and B, if we have A = qB, […]

## How to find The Angle Between Two Vectors

In this post, we will see how to find out the angle between two vectors. Say A and B are 2 vectors, where A =Ax i + Ay j + Azk and B = Bx i + By j + Bzk If we take the cross product of these 2 vectors, then we can write: […]

## The force vectors on an aeroplane in steady flight & numerical

In this post, we will study a probable set of force vectors on an aeroplane in steady flight. The forces acting on an aeroplane (airplane) are shown in Figure 1. force vectors on an aeroplane in steady flight Let’s list down the force components acting on the airplane when it’s having a steady flight. The […]

## How to calculate the resultant of two vectors easily?

In this post, we will discuss how to calculate the resultant of two vectors easily. The resultant of two vectors can be done in different methods like (1) Using the Triangle Law, (2) Using the Law of Parallelogram, and (3) using Rectangular Components & Pythagoras Theorem. Among these three methods, the third one is quite […]

## Polar form and Cartesian form of Vector representation

Here we will discuss the Polar form and Cartesian form of Vector representation. Vectors may be represented in two ways: Polar form and Cartesian form. Let’s discuss these in detail.

## Using Vector Cross product to find Area of a Parallelogram

Let’s see how to use the Vector Cross product to find the Area of a Parallelogram. Here we will see that the magnitude of the cross product of vector AB and AC gives the area of the parallelogram ABCD. (reference: the image below) ABCD is a parallelogram and its area is twice the area of […]

## Using the Vector Cross product to find the Area of a Triangle

Let’s see how to use the Vector Cross product to find the Area of a Triangle. Here we will see that half of the magnitude of the cross product of vector AB and AC gives the area of the triangle ABC. (reference: the image below) Let, AB and AC are 2 vectors and these are […]

## Vectors class 11 Physics revision notes – chapter 4, concepts, formulas, applications & Questions | CBSE, ISC, UPSC | grade 12

Vectors class 11 Physics revision notes – chapter 4, concepts, formulas, applications & Questions | CBSE, ISC, UPSC | grade 12

## Numerical problems on collisions in two dimensions & momentum conservation

Numerical problems on collisions of objects in two dimensions. We will solve the collision problems using axial-vector components and the law of conservation of momentum.

## [pdf notes] Vector – grade 10 Notes download | class 11 physics notes on Vector physics

This Vector Notes [PDF] is primarily for the grade 10 (10th grade) physics syllabus of different international boards. This also covers the class 11 physics syllabus on Vector for boards like ISC, CBSE, etc. This physics class note covers the theoretical as well as the numerical part of this important chapter. We hope, the students […]

## How to find Vector Product? | Formula, example, cross product, rules

The vector product of two vectors A and B, also called the cross product, is denoted by A X B, and the magnitude of the vector product is found using the formula AB sinφ. Here, A and B are magnitudes of vectors A and B respectively and φ is the angle between the two vectors. […]

## Numerical problem sets on Vector Physics (Class 11 & 12)

This post presents Numerical problems on Vector Physics. These 2 worksheets will help students who are preparing for Class 11 Physics in different boards like IGCSE, GCSE, ISC, CBSE, etc. Also covers the syllabus of many international boards for HSC grade 11 & 12. This is equally helpful for those students who are focusing on […]

## How to resolve vectors easily?

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors. The pair of vectors are called the resolved vectors. The resolved pair of vectors will both start at […]

## Scalar product formula with an example

Scalar multiplication of two vectors yields a scalar product. Scalar multiplication is also known as the dot product. In the next section, we will see how the scalar product formula or equation is written. Scalar product formula | equation of dot product The scalar product of 2 vectors A and B is expressed by the […]

## Common examples of scalar product and vector product with their basic difference

Here we will quickly find out the concepts behind the scalar product and the vector product with their fundamental difference. Also, we will site very common examples of the scalar product and vector product. (one for each type of product). There are two kinds of products of vectors used broadly in physics and engineering. What […]

## Forces acting on a mass sliding down an inclined plane – using vector resolution

In this post, we will discuss the forces acting on a mass sliding down an inclined plane. To do this we will take the help of the concepts of Vector Resolution. Here we are not considering the presence of friction. Forces acting on a mass sliding down an inclined plane The first step when setting […]

## Relative Velocity – explanation with Vector concepts

Relative velocity: The velocity of an object measured by a moving observer is referred to as the relative velocity. The relative velocity is the difference between the velocity of the object relative to the ground and the velocity of the observer relative to the ground. It helps us to understand the motion of an object […]

## Vector Subtraction

As we have discussed Vector in physics and had a detailed study of Vector addition, now its turn to discuss another topic of vector physics which is Vector Subtraction. Vector Subtraction helps us to subtract one vector from another vector. Now how do it? To subtract one vector from another, for example, to get A […]

## What is Vector Physics?

Vector physics is one of the most fundamental chapters in high school physics where we learn about Vector and Scalar quantities. To understand it we have to proceed step by step starting with physical quantity. The quantity which can be measured is called physical quantity. The physical quantities measured in physics can be divided into […]