Normal vectors Definition. A vector n→ is called normal to a surface (

Question

Notify Me Bookmark

Normal vectors Definition. A vector n→ is called normal to a surface (S) at a point M on (S) if n→ is orthogonal to the tangent plane of (S) at M. A unit normal vector is a normal vector of length 1. Problem. Find the unit normal vector n→ to the surface z = 2.2 − x2 − 1.1y2 at the point M(0.6, 0.4, 1.664), given that n→ is pointing upward (namely n→, Oz→ < 90∘).

Normal vectors Definition. A vector n→ is called normal to a surface (S) at a point M on (S) if n→ is orthogonal to the tangent plane of (S) at M. A unit normal vector is a normal vector of length 1. Problem. Find the unit normal vector n→ to the surface z = 2.2 − x2 − 1.1y2 at the point M(0.6, 0.4, 1.664), given that n→ is pointing upward (namely n→, Oz→ < 90∘).

Image text

Normal vectors Definition. A vector

\vec{n}

is called normal to a surface

(S)

at a point

M

on

(S)

if

\vec{n}

is orthogonal to the tangent plane of

(S)

at

M

. A unit normal vector is a normal vector of length 1.

Problem. Find the unit normal vector

\vec{n}

to the surface

z = 2.2 - x^{2} - 1.1 y^{2}

at the point

M (0.6, 0.4, 1.664)

, given that

\vec{n}

is pointing upward (namely

\vec{\vec{n}, \vec{O z}} < 90^{\circ}

).

Detailed Answer

Ask Your Doubt Rate This Answer Request Video Solution

Previous question

Next question

Submit Questions

Similar/Related Questions

Solution

Solution

Solution