Answer :

let where u is vector parallel to b and v is vector perpendicular to b, as given in the question.


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



(5 – 3p) (3) +(5 – p) =0


15 – 9p + 5 – p = 0


20 = 10p


P = 2


So,


substituting this value in above equation, we will get




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