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

question 74

Essay

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

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Definitions:

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A rare blood disorder characterized by the marrow's inability to produce sufficient new cells to replenish blood cells.

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