Study

 Explain about addition of vector. Consider two coplanar vectors as shown in the fig The vectors which lie in the same plane are called coplanar vectors. Let us find the sum of these two vectors Ā and B The procedure is to move one of the two vectors parallel to itself at the tip of the other vector. Thus move Ā  parallel to itself at the tip of B. Then join tip of A moved, to the origin. This vector represents resultant which is the addition of the two vectors A and B. This is shown in the Fig. 1.4.2. Let us denote this resultant as then It must be remembered that the direction of C is from origin O to the tip of the vector moved. Another point which can be noticed that if B is moved parallel to itself at the tip of A, we get the same resultant C Thus, the order of the addition is not important. The addition of vectors obeys the commutative law ie. A+B=B+A. Another method of performing the addition of vectors is the parallelogram rule. Complete the parallelogram as shown in t...

Electromagnetic fields Unit vector- A unit vector has a function to indicate the direction. Its magnitude is always unity, irrespective of the direction which it indicates and the co-ordinate system under consideration. Thus for any vector, to indicate its direction a unit vector can be used. Consider a unit vector āoA in the direction of OA as shown in o the Fig. This vector indicates the direction of OA but its magnitude is unity. Fig Unit vector aOA So vector OA can be represented completely as its magnitude R and the direction indicated by unit vector along its direction. ŌĀ = |OA| āOA =R āOA āOA=1