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

\(\frac{{8\widehat i +4\widehat j - 6\widehat k}}{{\sqrt {29} }}\)

\(\frac{{4\widehat i + 2\widehat j - 3\widehat k}}{{\sqrt {29} }}\)

\(\frac{{4\widehat i - 2\widehat j - 3\widehat k-11}}{{\sqrt {116} }}\)

Find the unit vector perpendicular to the surface x2 + y2 – z2 = 11

1.	Find the unit vector perpendicular to the surface x2 + y2 – z2 = 11 at the point (4, 2, 3).
A.	8î + 4ĵ -6k̂
B.	\(\frac{{4\widehat i + 2\widehat j - 3\widehat k}}{{\sqrt {29} }}\)
C.	\(\frac{{8\widehat i +4\widehat j - 6\widehat k}}{{\sqrt {29} }}\)
D.	\(\frac{{4\widehat i - 2\widehat j - 3\widehat k-11}}{{\sqrt {116} }}\)
Answer» C. \(\frac{{8\widehat i +4\widehat j - 6\widehat k}}{{\sqrt {29} }}\)

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

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