Q22 of 36 Page 10

If , are given vectors, then find a vector satisfying the equations and .[CBSE 2013]

Let


Now,



And,




Now,


z-y=0


So, z=y


And,


x-z=1 and y-x=-1


Now,


X+y+z=3


1+z+z+z=3


Z=2/3


On putting the value of z , we get


Then, y=2/3


And, x=5/3


Hence,



Hence, The vector

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