Math Chapter Wise question with answer

Q01 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 Q02 For f (x, y) = x2 y – y3, which one of the following gives the corresponding gradient vector field? English · JSSC PGT 2018 Q03 Which one of these statements is true for any two vectors α,β in Euclidean space? English · PGT 2003 Q04 Which of the following vectors is not irrotational English · (GIC) PGT, 2015 Q05 For c > 0, if ˆ ˆ ˆ ai +bj+ck is the unit normal vector at () 1, 1, 2 to the cone 2 2 z = x + y, then: English · Haryana PGT 2018 Q06 The unit vector normal at the point (–1, –1, 2) on the surface xy3 z2 =4 is? English · PGT 2013