italy-esame-di-stato 2017 Q7

italy-esame-di-stato · Other · esame-di-stato__matematica Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane
7. Determine the coordinates of the centres of the spheres with radius $\sqrt{6}$ tangent to the plane $\pi$ with equation:
$$x + 2 y - z + 1 = 0$$
at its point $P$ with coordinates $(1,0,2)$.
7. Determine the coordinates of the centres of the spheres with radius $\sqrt{6}$ tangent to the plane $\pi$ with equation:

$$x + 2 y - z + 1 = 0$$

at its point $P$ with coordinates $(1,0,2)$.