An electric field is given by `vec(E)=(yhat(i)+xhat(j))N/C`. Find the work done (in J) in moving a `1 C` charge from `vec(r)_(A)=(2hat(i)+2hat(j))` m to `vec(r)_(B)=(4hat(i)+hat(j))m`.

An electric field is given by vec(E )=(yhat(i)+hat(j))NC^(-1) . Find the work done (in j) by the electric field in moving a 1 C charge form vecr_(A)=(2 hat(i)+2 hat(j))m to vecr_(B)=(4 hat(i)+hat(j))m .

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

Find V_(ab) in an electric field vec(E)=(2hat(i)+3hat(j)+4hat(k))N//C where vec(r)_(a)=(hat(i)-2hat(j)+hat(k))mandvec(r_(b))=(2hat(i)+hat(j)-2hat(k))m

Find V_(ab) in an electric field vec(E)=(2hat(i)+3hat(j)+4hat(K))N//C where vec(i)_(a)=(hat(i)-2hat(j)+hat(k))mandvec(r_(b))=(2hat(i)+hat(j)-2hat(k))m

Find the net torque of these following forces about origin vec(F)_(1) = hat(i) - hat(j) acting at vec(r_(1))= 2hat(i) + hat(j), vec(F)_(2) = -hat(i) + hat(j) acting at vec(r_(2)) =hat(i) +2hat(j) & vec(F)_(3) = hat(i) +hat(j) acting at vec(r )_(3) = hat(i) - hat(j) .

If vec(r)=xhat(i)+yhat(j)+zhat(k) , then what is vec(r).(hat(i)+hat(j)+hat(k)) equal to?

Find [vec(a)vec(b)vec(c )] if vec(a)=vec(i)-2hat(j)+3hat(k), vec(b)=2hat(i)-3hat(j)+hat(k) and vec(c )=3hat(i)+hat(j)-2hat(k) .

Find the projection of vec(b)+ vec(c ) on vec(a) where vec(a)= 2 hat(i) -2hat(j) + hat(k), vec(b)= hat(i) + 2hat(j)- 2hat(k), vec(c ) = 2hat(i) - hat(j) + 4hat(k)