Q. 224.2( 5 Votes )

If<im

Answer :

Letbe the required vector.


,


As, it is given thatis perpendicular to, therefore



a – 2b + c = 0 … (1)


Also,andare coplanar, therfore



1(-2c - b) - 1(c - a) + 1(b - ( -2a)) = 0


-2c - b - c + a + b + 2a = 0


2a + a – b + b – 2c – c = 0


3a – 3c = 0


a – c = 0 … (2)


Solving (1) and (2) we get,




a = b = c





So, a = 5


Hence


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