If a vector A is multiplied by a real number (say n), the vector of same nature is obtained but its magnitude is n times that of A.

Hello Subash!

Here is the solution for the question you are asking for, I solved it in procedural way but if you are among the one who prefer OOP style then you can still ask it for me cause I have solved it from both methods but here I am just going to leave procedural one....

//author:Manish Acharya

import java.util.Scanner;

import java.util.*;

public class idgenerator {

public static void main(String[] args) {

String small_name="", long_name="", new_small_name="", new_long_name="";

char lr='a',...

BODMAS=Bracket, Order, Division, Multiplication, Addition and Subtraction. In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction) is the synonym of BODMAS. It explains the order of operations to solve an expression.

सेवाहरूमा नैतिकता, मनोविजञान, फिजियोलोजी, मानवविजञान अनतरगत सामाजिक अधययनको पराथमिक उददेशय युवाहरूलाई जानकारी र कारण पुरयाउन मददत गरनु हो I सामाजिक अधययन विजञानको शाखा हो जुन समाज र वयकतिहरू बीचको समबनधको अधययनमा समरपित छ I सामाजिक अधययन पहिले समाजको मौलिक विजञान र समाजशासतरको कषेतरलाई सनदरभ गरन परयोग गरिएको थियो I समाजशासतर बाहेक अब सामाजिक अधययनले 

 समेटने विषयहरुको एक विसतृत शृंखला देखन पाइनछ I ती मधये केही अरथशासतर वयवसथापन चिनह, मानव भूगोल,मिडिया अधययन, राजनीतिक विजञान, मनोविज...

Log_2aa=x    then, a=(2a)^x  ......(1)

Log_3a2a=y    then,2a=(3a)^y ......(2)

Log_4a 3a=z  then, 3a=(4a)^z ......(3)

So, 

a=(2a)^x  [from (1)]

Or, a=(3a)^xy    [from(2)]

Or, a=(4a)^xyz     [from(3)]

Multiplying both sides by 4a,

4a.a=4a.(4a)^xyz  

Or,(2a)² =(4a)^{xyz + 1} 

Or,(3a)^2y =(4a)^xyz+1 

Or,(4a)^2yz =(4a)^xyz+1 

Or, 2yz = xyz+1 .proved.