Find the tangent plane equation and normal equation of the point (2,2,3) on the surface x ^ 2-4y ^ 2 + 2Z ^ 2 = 6

Find the tangent plane equation and normal equation of the point (2,2,3) on the surface x ^ 2-4y ^ 2 + 2Z ^ 2 = 6

F (x, y, z) = x & # 178; - 4Y & # 178; + 2Z & # 178; - 6fx = 2x, FY = - 8y, FZ = 4Z, so the normal vector is: (4, - 16,12) = 4 (1, - 4,3), so the tangent plane is: (X-2) - 4 (Y-2) + 3 (Z-3) = 0x-4y + 3z-3 = 0, and the normal equation is: (X-2) / 1 = (Y-2) / (- 4) = (Z-3) / 3

There are two points whose distances to the origin are 2 and 3 respectively. What is the distance between these two points? Give reasons

1 or 5, reason: the two points may be on the same side of the origin, or on both sides of the origin. If the two points on the same side of the origin are 2, 3 or - 2, - 3 respectively, the distance between them is 1. If the two points on the same side of the origin are - 2, + 3 or - 3, + 2 respectively, the distance between them is 5

The distance to the origin of the number axis is 0.01. What is the number of books
Find this number

There are two: 0.01 and -0.01