Decompose the vector into vectors which are parallel and perpendicular to the vector

let and

let where u is vector parallel to b and v is vector perpendicular to b



So, ; where p is some constant



Substituting this value in above equation



Now according to conditions since vector v and b are perpendicular to each other



6 – p – 3 – p – 6 – p = 0


P = –1


So,


Substituting this value of in above equation





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