A rigid body rotates about an axis through the origin with an angular velocity `10sqrt(3)`rad/s. If `omega` points in the direction of `hat(i)+hat(j)+hat(k)`, then the equation to the locus of the points having tangential speed 20m/s.

Options

A. `x^(2)+y^(2)+z^(2)-xy-yz-xz-1=0`
B. `x^(2)+y^(2)+z^(2)-2xy-2yz-2xz-1=0`
C. `x^(2)+y^(2)+z^(2)-xy-yz-xz-2=0`
D. `x^(2)+y^(2)+z^(2)-2xy-2yz-2xz-2=0`

Answer

C