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Vector Addition Calculator
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Vector Addition Calculator (Adding Vectors Calculator) is an online tool which can be used for adding two vectors. It takes two vectors and adds the two vectors and gives the sum.

Vector Addition Calculator for adding two vectors 'x' and 'y' where vectors 'x' and 'y' have to be added to calculate 'x + y', and vector 'x' = a i + b j + c k & vector 'y' = d i + e j + f k, the values of 'a', 'b', 'c', 'd', 'e', 'f' have to be put in the calculator and and on clicking solve it will calculate 'x - y'.

 

Procedure

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Step 1 :  

In addition of vector we simply do the addition of the respective magnitude.


Example:- x = ai + bj + ck and y = di + ej + fk then, x + y = (a+d)i + (b+e)j + (c+f)k



Example Problems

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  1. Add the vectors, x = 3i + 4j + 6k and y = 4i + 2j + (-5)k.


    Step 1 :  

    Given:


    x = 3i + 4j + 6k


    y = 4i + 2j + (-5)k


    x + y = (3 + 4)i + (4 + 2)j + (6-5)k


    x + y = 7i + 6j + k



    Answer  :  

    Answer = 7i + 6j + k



  2. Add the vectors, x = 4i + 2j + 10k and y = 3i + (-4)j + k.


    Step 1 :  

    Given:


    x = 4i + 2j + 10k


    y = 3i + (-4)j + k


    x + y = (4 + 3)i + (2 - 4)j + (10+1)k


    x + y = 7i + (-2)j + 11k



    Answer  :  

    Answer = 7i + (-2)j + 11k



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