find the x, y, and z intercepts of the plane tangent to the sphere of radius sqrt(14) with center at the origin, at the point (1,2,3)?

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- February 17th 2013, 09:39 AMapatiteDifferentiability and Tangent Plane
find the x, y, and z intercepts of the plane tangent to the sphere of radius sqrt(14) with center at the origin, at the point (1,2,3)?

- February 17th 2013, 10:01 AMMathsdogRe: Differentiability and Tangent Plane
You could start with the observation that the vector (1, 2, 3) is normal to the plane you need to find, and this, along with the fact that this point (1, 2, 3) is in the plane, determines the plane uniquely.

- February 17th 2013, 10:12 AMPlatoRe: Differentiability and Tangent Plane