if  and are any two non collinear unit vectors and is any vector, then find the value of

(.) + (.)  + .(X ) / | X  |

ans is

abe yaar ise challanger question bola kar bakwaas mat kar!!



any 3-d vector is comprised of three components , we generally take it a = (a.i)i + (a.j)j + (a.k)k  where we take i,j,k as basic unit vectors . In general we can take any two vectors and a vector perpendicular to both of them to describe any vector,  let x, y, z be any such vectors then vector can be described as:



 

here in ur question   

here vector z is perpendicular to plane comprising both vectors b and c..

now since they are unit vectors  they become:

(.) + (.)  + .(X ) / | X  |..

It was a basic simple question,, to check out all my way,, just observe Arihant..

Dont forget to rate!!

(a.b)b=[a b b]=0

(a.c)c=[a c ]=0

(bXc)/ I bXc I=n(unit vector)

(a.b)b + (a.c)c + a.(bXc) / IbXcI  =0+0+a.n(unit vector)

                                                         =a

Good soution @riku