two short dipoles `p( hat i + hat k)` and 4p `hat k` are located at (0,0,0) and (1m,0,2m) respectively. the resultant electric field at point (1,0,0) is

Two short dipoles phat(k) and P/2 hat(k) are located at (0,0,0) & (1m, 0,2m) respectivley. The resultant electric field due to the two dipoles at the point (1m, 0,0) is

Two short dipoles phat(k) and P/2 hat(k) are located at (0,0,0) & (1m, 0,2m) respectivley. The resultant electric field due to the two dipoles at the point (1m, 0,0) is

Two particles A and B are placed in gravity free space at (0, 0, 0) m and (30, 0, 0) m respectively. Particle A is projected with a velocity (5hat i + 10 hat j + 5 hat k) ms^-1, while particle B is projected with a velocity (10 hat i + 5 hat j + 5 hat k) ms^-1 simultaneously. Then,

The position vectors of point A ,B ,a n dC are hat i+ hat j+ hat k , hat i+5 hat j- hat ka n d2 hat i+3 hat j+5 hat k , respectively. Then greatest angel of triangle A B C is 120^0 b. 90^0 c. cos^(-1)(3//4) d. none of these

A dipole of dipole moment vec(P)=2hat(i)-3hat(j)+4hat(k) is placed at point A (2, -3, 1). The electric potential due to this dipole at the point B (4, -1, 0) is equal to (All the parameters specified here are in S.L. units) ____ xx 10^(9) volts

Electric and magnetic field are directed as E_(0) hat(i) and B_(0) hat(k) , a particle of mass m and charge + q is released from position (0,2,0) from rest. The velocity of that particle at (x,5,0) is (5 hat(i) + 12 hat(j)) the value of x will be

Dot product of a vector with hat i+ hat j-3 hat k , hat i+3 hat j-2 hat k and 2 hat i+ hat j+4 hat k are 0,5 and 8 respectively. Find the vector.

Two particles P and Q are moving with velocity of (hat(i)+hat(j)) and (-hat(i)+2hat(j)) respectively. At time t=0 , P is at origin and Q is at a point with positive vector (2hat(i)+hat(j)) . Then the shortest distance between P & Q is :-

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i+2 hat j- hat k and - hat i+ hat j+ hat k respectively, in the ratio 2 : 1(i) internally (ii) externally

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i+2 hat j- hat k and - hat i+ hat j+ hat k respectively, in the ratio 2 : 1(i) internally (ii) externally