GATE Questions & Answers of Vector Identities

What is the Weightage of Vector Identities in GATE Exam?

Total 4 Questions have been asked from Vector Identities topic of Calculus subject in previous GATE papers. Average marks 1.50.

Let .fv=x2y+y2z+z2x,where f and v are scalar and vector fields respectively. If v=yi+zj+xk then v.fis

The curl of the gradient of the scalar field defined by V=2x2y+3y2z+4z2x is

The direction of vector A is radially outward from the origin, with A=krn where r2 = x2 +y2 +z2 and k is a constant. The value of n for which ·A=0 is

The two vectors [1,1,1] and [1,a,a2] where a=-12+j32 are