Answer to Question #225910 in Chemical Engineering for Lokika

Question #225910

The unit normal to the surface x² + y² + z² = 3 at (1,1,1) is A)1/√16 (2i+2j+2k) B)1/√3(i+j+ k)

C) 1/√6(i+2j+3k)

D)1/√3(i+2j+2k)


1
Expert's answer
2021-08-17T12:30:01-0400

The gradient of   at point   is a vector normal to the surface at this point.

The gradient is obtained as follows

at point (1,1,1) and the unit vector is


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