[(2^(256))" ant "17-:4777" fart un atagam aril "vec E" tril "],[[" (a) "0," (b) "1],[" (c) "3," (d) "5]]

When 2^(256) is divided by 17 the remainder would be

If V=2r^(2) then find (i) vec(E) (1, 0, -2) (ii) vec(E) (r=2)

If V=2r^(2) then find (i) vec(E) (1, 0, -2) (ii) vec(E) (r=2)

Consider the following statements 1. For any three vectors vec(a) vec(b) vec(c ) vec(a).{(vec(b) + vec(c )) xx vec(a) + vec(b) + vec(c )}=0 2. for any three coplanar vectors vec(d), vec(e ), vec(f), (vec(d) xx vec(e )) .vec(f )= 0

Consider the following statements 1. For any three vectors vec(a), vec(b), vec(c) , vec(a). {(vec(a)+vec(c))xx(vec(a)+vec(b)+vec(c))}=0 2. For any three coplanar unit vectors vec(d), vec(e), vec(f), (vec(d)xxvec(e)).vec(f)=1 Which of the statements given above is/are correct?

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is

An electric dipole has a fixed dipole moment vec(p) , which makes angle theta with respect to x-axis. When subjected to an electric field vec(E_(1)) = E hat(i) , it experiences a torque vec(T_(1)) = tau hat(k) . When subjected to another electric field vec(E_(2)) = sqrt(3) E_(1) hat(j) , it experiences torque vec(T_(2)) = -vec(T_(1)) . The angle theta is

When 2^(256) is divided by 17, the remainder would be 1 (b) 14 (c) 16 (d) None of these

Write the ant derivative of e^(2x) with respect to x.