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

For the spherical surface x² + y² + z² = 1, the unit outward normal vector at the point
1 , 1 , 0 is given by
√2 √2

Given spherical surface is x² + y² + z² = 1
and point is

		1	,	1	, 0
		√2		√2

Normal vector outward to x² + y² + z² – 1 = 0 at

		1	,	1	, 0		is
		√2		√2

	1	i +	1	j + 0.k
	√2		√2

=	1	i +	1	j
	√2		√2

Hence outward unit normal vector

	1	î +	1	ĵ +	1	k̂
	√3		√3		√3