Math Chapter Wise question with answer

Q01 Let V be the vector space of functions on the interval [0,1]. Then the functions x3, sin x and cos x are– English · SECTION B PGT TIER-I 31.11.2014 Q02 If A, B, C, D are any four points in space, and AB× CD+ BC×AD + CA×BD =λ (area of ∆ ∆ABC) then λ is equal to- English · Rajasthan TGT 2013 Q03 What is the dimension of the subspace W of IR3 where (()) { { } } 3,,. 2 0,2 3 0 W x y z IR x y z x y z = ∈ + + = +... English · PGT 2003 Q04 Which one of these statements is true for any two vectors α,β in Euclidean space? English · PGT 2003 Q05 Let V be the solid region in 3 ℝ bounded by the paraboloid y = (x2 + z2) and the plane y = 4. Then the value of ∫∫∫... English · Bihar (TRE 1.0) -2023 Q06 If a is differentiable vector point function and u is a differentiable scalar point function, then ∇ × (u a) is equ... English · RPSC PGT 2022