 Good morning friends. I'm poor boy and today we will discuss the following question find the values of x and y so that the vectors 2i cap plus 3j cap and xi cap plus yj cap are equal Let us now begin with the solution Now we are given that the vectors 2i cap plus 3j cap and xi cap plus yj cap are equal so since 2i cap plus 3j cap and xi cap plus yj cap are equal Therefore we have 2i cap plus 3j cap is equal to xi cap plus yj cap Now on comparing the coefficients of i cap and j cap we get on comparing the coefficients of i cap we get 2 is equal to x so we have 2 is equal to x and On comparing the coefficients of j cap we get 3 is equal to y so we have 3 is equal to y Hence we get our answer as x is equal to 2 and y is equal to 3 Hope you have understood the solution Bye and take care