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

Which of the following expressions are meaningful? vec u.( vec vxx vec w) b. ( vec u. vec v). vec w c. ( vec u. vec v). vec w d. vec uxx( vec v. vec w)

Which of the following expressions are meaningful? a. vec u.(vec vxx vec w) b. vec u. vec v. vec w c. ( vec u vec v). vec w d. vec uxx( vec v. vec w)

If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw) equals (A) vecu.(vecvxxvecw) (B) vecu.vecwxxvecv (C) 2vecu.(vecvxxvecw) (D) 0

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

For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) = (1-vecu.vecv)^2+|vecu+vecv+(vecuxxvecv)|^2

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 veca,vecb,vecc are non-coplanar vectors and vecu and vecv are any two vectors. Prove that vecuxxvecv=(1)/([vecavecbvecc])|{:(vecu.veca,vecv.veca,veca),(vecu.vecb,vecv.vecb,vecb),(vecu.vecc,vecv.vecc,vecc):}|

Let vecu and vecv be unit vectors such that vecu xx vecv + vecu = vecw and vecw xx vecu = vecv . Find the value of [vecu vecv vecw ]

Let vecu, vecv, vecw be three unit vectors such that vecu+vecv+vecw=veca,veca.vecu=3/2, veca.vecv=7/4 |veca|=2, then (A) vecu.vecv=3/2 (B) vecu.vecw=0 (C) vecu.vecw=-1/4 (D) none of these

Let a,b,c denote the lengths of the sides of a triangle such that ( a-b) vecu + ( b-c) vecv + ( c-a) (vecu xx vecv) = vec0 For any two non-collinear vectors vecu and vecu ,then the triangle is