Find the equation of sphere if it touch...

Find the equation of sphere if it touches the plane `rcdot(2hat(i)-2hat(j)-hat(k))=0` and the position vector of its centre is `3hat(i)+6hat(j)-hat(k).`

Verified by Experts

The correct Answer is:

`9x^(2)+9y^(2)+9z^(2)-54x-108y+72z+245=0`

Similar Questions

Explore conceptually related problems

Find the Cartesian equation of the following planes: r.(2hat(i)+3hat(j)-4hat(k))=1

Find the direction cosines of vector, 2hat(i) + hat(j) + 3hat(k) .

Find the Cartesian equation of the following planes: r.(hat(i)+hat(j)-hat(k))=0

Find the magnitude of the vector vec(a) = 3hat(i) +2hat(j) + 6hat(k) .

Find the vector equation of a sphere with centre having the position vector hat(i)+hat(j)+hat(k) and radius sqrt(3).

If vec a=6hat(i)+7hat(j)+7hat(k) , find the unit vector along with this vector

Find the projection of the vector hat(i)-hat(j) on the vector hat(i)+hat(j) .

Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in the direction of a vector

Find a unit vector in the direction of vec(A) = 3hat(i) - 2hat(j) + 6hat(k) .