?Consider the plane of equation x ? y ? z ? 8 = 0.a. Find the equation of the sphere

Chapter 2, Problem 298

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Consider the plane of equation x − y − z − 8 = 0.

a. Find the equation of the sphere with center C at the origin that is tangent to the given plane.

b. Find parametric equations of the line passing through the origin and the point of tangency.

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