Which of the followind expression are meanigful ? (A) `vecu.(vecvxxvecw)` (B) `(vecu.vecv)xxvecw` (C) `(vecu.vecv).vecw` (D) `vecuxx(vecv.vecw)`

If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-vecw).(vecu-vecc)xx(vecv-vecw) equals (A) vecu.vecvxxvecw (B) vecu.vecwxxvecv (C) 3vecu.vecuxxvecw (D) 0

If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw) equals

Let vecu, vecv and vecw be three unit vectors such that vecu + vecv + vecw = veca, vecuxx (vecv xx vecw)= vecb, (vecu xx vecv) xx vecw= vecc, vec a.vecu=3//2, veca.vecv=7//4 and |veca|=2 Vector vecu is

If veca and vecb are two non collinear vectors and vecu=veca-(veca.vecb)vecb and vecv=vecaxxvecb then |vecv| is (A) |vecu| (B) |vecu|+|vecu.vecb| (C) |vecu|+|vecu.veca| (D) none of these

If vecu, vecv, and vecw are three non-caplanar vectors, then prove that (vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw)=vecu.vecvxxvecw

If vecu,vecv and vecw are vectors such that vecu+vecv+vecw=vec0 then [vecu+vecv vecv+vecw vecw+vecu])= (A) 1 (B) [vecu vecv vecw] (C) 0 (D) -1

If in triangle ABC, vec(AB) = vecu/|vecu|-vecv/|vecv| and vec(AC) = (2vecu)/|vecu| , " where " |vecu| ne |vecv| , then

If in triangle ABC, vec(AB) = vecu/|vecu|-vecv/|vecv| and vec(AC) = (2vecu)/|vecu| , " where " |vecu| ne |vecv| , then

If alpha_1, alpha_2 be the roots of the equation x^2-px+1=0 and beta_1,beta_2 be those of equatiion x^2-qx+1=0 and p^2=q^2,vecu=alpha_1hati+alpha_2hatj,and vecv=beta_1hati+beta_2hatj then which one is necessarily true (A) vecu_|_vecv (B) vec_|_vecw (C) vecu||vecv or vecu||vecw (D) none of these