For the spherical surface x2 + y2 + z2 – 1, the unit outward normal vector at the point \(\left( {\frac{1}{{\sqrt 2 }},\frac{1}{{\sqrt 2 }},0} \right)\) is given by

\(\frac{1}{{\sqrt 2 }}\hat i - \frac{1}{{\sqrt 2 }}\hat j\)

\(\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j\;\)

\(\frac{1}{{\sqrt 3 }}\hat i + \frac{1}{{\sqrt 3 }}\hat j + \frac{1}{{\sqrt 3 }}\hat k\)

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

1.	For the spherical surface x2 + y2 + z2 – 1, the unit outward normal vector at the point \(\left( {\frac{1}{{\sqrt 2 }},\frac{1}{{\sqrt 2 }},0} \right)\) is given by
A.	\(\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j\;\)
B.	\(\frac{1}{{\sqrt 2 }}\hat i - \frac{1}{{\sqrt 2 }}\hat j\)
C.	\(\hat k\)
D.	\(\frac{1}{{\sqrt 3 }}\hat i + \frac{1}{{\sqrt 3 }}\hat j + \frac{1}{{\sqrt 3 }}\hat k\)
Answer» B. \(\frac{1}{{\sqrt 2 }}\hat i - \frac{1}{{\sqrt 2 }}\hat j\)

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For the spherical surface x2 + y2 + z2 – 1, the unit outward normal vector at the point \(\left( {\frac{1}{{\sqrt 2 }},\frac{1}{{\sqrt 2 }},0} \right)\) is given by

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