যদি `vec(r) = x vec(a) + y vec(b) + z vec (c ) ` হয়, তবে নিচের কোনটি `vec(a)` অভিমুখে `vec (r ) `-এর স্কেলার উপাংশ হবে ?

If vec(r )= x vec(i) + y vec(j) + z vec(k) then (vec(r ) xx vec(i)).(vec(r ) xx vec(j)) + xy=

If vec(r )= x vec(i) + y vec(j) + z vec(k) then find (vec(r ) xx vec(i))^(2)- (vec(r )xx vec(k))^(2)

[vec a + vec b, vec b + vec r * vec cvec c + vec a] = 2 [vec with bvec c]

Let vec(a), vec(b), vec(c) be three vectors mutually perpendicular to each other and have same magnitude. If a vector vec(r) satisfies vec(a) xx {(vec(r) - vec(b)) xx vec(a)} + vec(b) xx {(vec(r) - vec(c)) xx vec(b)} + vec(c) xx {(vec(r) - vec(a)) xx vec(c)} = vec(0) , then vec(r) is equal to :

If vec(r ) xx vec(a) = vec(b) xx vec(a), vec(r ) xx vec(b) = vec(a) xx vec(b), vec(a) ne vec(0), vec(b) ne vec(0), vec(a) ne lamda vec(b) and vec(a) is not perpendicular to vec(b) , then vec(r ) =

x (vec a xxvec b) + y (vec b xxvec c) + z (vec c xxvec a) = vec r and [vec with bvec c] = (1) / (8) then x + y + z

Let vec(a)= vec(i) + vec(j), vec(b)= 2vec(j)-vec(k) . If vec(r ) xx vec(a) = vec(b) xx vec(a), vec(r ) xx vec(b) = vec(a) xx vec(b) , then (vec(r ))/(|vec(r )|) =

If vec(a),vec(b),vec (c ) are non - coplanar vectors vec (r) . vec(a) = vecr . vec(b) = vecr.vec(c ) = 0 , show that vec (r ) is a zero vector .

If vec a and vec b are orthogonal unit vectors, then for a vector vec r noncoplanar with vec a and vec b , vec rxx veca is equal to a. [ vec r vec a vec b] vec b-( vec r. vec b)( vec bxx vec a) b. [ vec r vec a vec b]( vec a+ vec b) c. [ vec r vec a vec b] vec a-( vec r. vec a) vec axx vec b d. none of these