GATE CE 2021 Set 2 — Question 13
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Engineering Mathematics → Vector Calculus → Gradient, Divergence & Curl
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Question
The unit normal vector to the surface at the point is
Correct answer
(B) 1√(3), 1√(3), 1√(3)
Solution
Let the surface be defined by . The normal vector to the surface at any point is given by the gradient :At the point :The magnitude of the normal vector is:The unit normal vector is:In component form, this is . The correct option is (B).
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