Math Chapter Wise question with answer

Q01 If a is differentiable vector point function and u is a differentiable scalar point function, then ∇ × (u a) is equ... English · RPSC PGT 2022 Q02 If f1 and f2 are differentiable scalar functions and v is differentiable vector function such that f1v = ∇ f2, then... English · RPSC PGT 2022 Q03 For f (x, y) = x2 y – y3, which one of the following gives the corresponding gradient vector field? English · JSSC PGT 2018 Q04 A unit vector, which is normal to the surface x2 – xy + z 2 = 1 at the point (1, 1, 1) is– English · UP PGT 2021 Q05 If the vector () () () F x 3y i y – 2z j x – az k ∧ ∧ ∧ = + + + is solenoidal then a is equal to – English · UP PGT 2021 Q06 If a and b are irrotational vectors then div () × a b is equal to – English · UP PGT 2021