The area of the triangle whose vertices are $i, \omega$ and $\omega^2$ is (Where $\omega$ is a complex cube root of unity other than $1, i$ is an imaginary number)__________ sq.units

Three numbers are chosen at random from numbers 1 to 20 . The probability that they are consecutive is

The approximate value of $\frac{1}{(2.002)^2}$ is

The equation of plane passing through $(1,0,0)$ and $(0,1,0)$ and making an angle $45^{\circ}$ with the plane $x+y-3=0$ is