The unit normal vector to the surface X 2 + Y 2 + Z 2 - 48 = 0 at the point (4, 4, 4) is

{1}/{\sqrt{5}}, {1}/{\sqrt{5}}, {1}/{\sqrt{5}}

{1}/{\sqrt{2}}, {1}/{\sqrt{2}}, {1}/{\sqrt{2}}

{2}/{\sqrt{2}}, {2}/{\sqrt{2}}, {2}/{\sqrt{2}}

{1}/{\sqrt{3}}, {1}/{\sqrt{3}}, {1}/{\sqrt{3}}

GATE Civil Engineering (CE) 2021 Shift 2 Solved Paper

Question : 13 of 65

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The unit normal vector to the surface X² + Y² + Z² - 48 = 0 at the point (4, 4, 4) is

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