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Find the Point(s) on the Surface x2+y2z2=1x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1

Question 74

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Find the point(s) on the surface x2+y2z2=1x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1 such that the normal vector at the point is parallel to the vector {1,1,1}\{ 1,1 , - 1 \} .

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