Let `vecA=3veci+4vecj`. Write four vector `vecB` such that `vecA !=vecB` but `A=B`.

Given that veca,vecb,vecp,vecq are four vectors such that veca + vecb= mu vecp,vecb.vecq=0 and (vecb)^(2) =1 where mu is a sclar. Then |(veca.vecq) vecp-(vecp.vecq)veca| is equal to

Let veca, vecb and vecc be unit vector such that veca + vecb - vecc =0 . If the area of triangle formed by vectors veca and vecb is A, then what is the value of 4A^(2) ?

Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr.veca=0, |vecrxxvecb|=|vecr||vecb|,|vecrxxvecc|=|vecr||vecc| then [(veca, vecb, vecc)]=

Given that vecA,vecB,vecC form triangle such that vecA=vecB+vecC . Find a,b,c,d such that area of the triangle is 5sqrt(6) where vecA=aveci+bveci+cveck. vecB=dveci+3vecj+3veck and vecC=3veci+vecj-2veck .

Let veca,vecb,vecc be three unit vectors such that 3veca+4vecb+5vecc=vec0 . Then which of the following statements is true? (A) veca is parrallel to vecb (B) veca is perpendicular to vecb (C) veca is neither parralel nor perpendicular to vecb (D) veca,vecb,vecc are copalanar

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

Let veca=2vecj+vecj-2veck,vecb=veci+vecj. If vecc is a vector such that veca.vecc=|vecc|,|vecc-veca|=2sqrt(2) and the angle between vecaxxvecb and vecc is 30^(@) . Find the value of |(vecaxxvecb)xxvecc|

Let veca,vecb,vecc be unit vectors such that veca.vecb=veca.vecc=0 and the angle between vecb and vecc is (pi)/(3). Prove that veca=+-(2)/(sqrt(3))(vecbxxvecc).

Let veca, vecb , vecc be three vectors of equal magnitude such that the angle between each pair is pi/3 . If |veca + vecb + vecc| = sqrt6 , " then " |veca|=

Let veca,vecb,vecc be three vectors such that |veca|=3,|vecb|=4,|vecc|=12 and each one of them being perpendicular to the sum of the other two. Find |veca+vecb+vecc| .