For the spherical surface x 2 + y 2 + z 2 – 1, the unit outward normal vector at the point ( {1}/{\sqrt{2}}, {1}/{\sqrt{2}},0) is given by

{1}/{\sqrt{2}}i^{\^} + {1}/{\sqrt{2}}j^{\^}\:

{1}/{\sqrt{2}}i^{\^}− {1}/{\sqrt{2}}j^{\^}

{1}/{\sqrt{3}}i^{\^} + {1}/{\sqrt{3}}j^{\^} + {1}/{\sqrt{3}}k^{\^}

GATE Mechanical Engineering (ME) 2012 Solved Paper

Question : 22 of 65

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For the spherical surface x² + y² + z² – 1, the unit outward normal vector at the point

(\;{1}/{{√{2}}},\;{1}/{{√{2}}},0)

is given by

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