" Evaluate uniry ideptities: "1(102)^(2)quad vec i" ) "(95)^(2)

Find (102)^(2)

Find 102^(2)

If vec(r )= x vec(i) + y vec(j) + z vec(k) then find (vec(r ) xx vec(i))^(2)- (vec(r )xx vec(k))^(2)

The value of (1)/(i) + (1)/(i^2) + (1)/(i^3) + …. + (1)/(i^(102) ) is

If vec a =(2,3,6) , vec b=(2,-2,1) , vec c=(-1,0,2) , find the direction cosines of vec b -vec a+2vec c and the unit vector in direction of vec b -vec a + 2vec c .

Evaluate the following {:[(1,-1),(0,2),(2,3)] ([(1,0,2),(2,0,1)] - [(0,1,2),(1,0,2)])

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)