Find the unit vector perpendicular to the surface x2 + y2 – z2 = 11 at the point (4, 2, 3).

  1. 8î + 4ĵ -6k̂

Answer (Detailed Solution Below)

Option 2 :
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UP TGT Arts Full Test 1
125 Qs. 500 Marks 120 Mins

Detailed Solution

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Given:

Surface is x2 + y2 – z2 = 11

At point (4, 2, 3)

Formula used:

Unit vector perpendicular to the surface at point 'n' given by 

Calculation:

∴ The unit vector perpendicular to the surface x2 + y2 – z2 = 11 at the point (4, 2, 3) = 

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