if `veca` is a unit vector and `(vecx-veca).(vecx+veca)=8` then `|vecx|`

If veca is unit vector and (vecx-a).(vecx+a)=12 then find |x| .

Find the value of |vecx| if for a unit vector a (vecx-veca)(vecx+veca)=8

Find |vecx|, if for a unit vector veca, (vecx-veca).(vecx+veca) = 12 .

If veca, vecb are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

Let veca , vecb and vecc be unit vectors such that veca+vecb+vecc=vecx, veca.vecx =1, vecb.vecx = 3/2 ,|vecx|=2 then find theh angle between vecc and vecx .

Let veca , vecb and vecc be unit vectors such that veca+vecb+vecc=vecx, veca.vecx =1, vecb.vecx = 3/2 ,|vecx|=2 then find theh angle between vecc and vecx .

Let vecx, vecy and vecz be unit vectors such that vecx+vecy+vecz=veca, vecx xx(vecyxxvecz)=vecb, (vecx xxvecy)xxvecz=vecc, veca.vecx=3/2, veca.vecy=7/4 and \|veca|=2 . Find vecx,vecy,vecz in terms of veca,vecb,vecc.

STATEMENT-1: If veca,vecb,vecc , are unit vectors such that veca+vecb+vecc=0 and veca.vecb+vecb.vecc+vecc.veca=-(3)/(2) . STATEMENT-2 : (vecx+vecy)^(2)=|vecx|^(2)+|vecy|^(2)+2(vecx.vecy) .