Consider the Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49$

question 232

Essay

Consider the equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49$ .(a) Sketch this surface. (b) Find an equation of the tangent plane to the surface at the point $( 6,2,3 )$ .(c) Find a symmetric equation of the line perpendicular to the tangent plane at the point $( 6,2,3 )$ .

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