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🟡12 - Gradient Vector, Tangent Plane and Normal Line to the Surface at a Point
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In this lesson we shall find the tangent plane and the normal line to the surface at a point involving the gradient vector.
We shall use the formulas;
Tangent Plane Equation
1. fx(xo,yo,zo)(x-xo) + fy(xo,yo,zo)(y-yo) + fz(xo,yo,zo)(z-zo) = 0
2. r(t) = (xo,yo,zo) + t(xo,yo,zo)
Playlists on various Course
1. Applied Electricity
2. Linear Algebra / Math 151
3. Basic Mechanics
4. Calculus with Analysis / Calculus 1 / Math 152
5. Differential Equations / Math 251
6. Electric Circuit Theory / Circuit Design
7. Calculus with Several Variables
00:00 - Introduction
05:13 - Tangent plane
10:21 - Normal line
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
We shall use the formulas;
Tangent Plane Equation
1. fx(xo,yo,zo)(x-xo) + fy(xo,yo,zo)(y-yo) + fz(xo,yo,zo)(z-zo) = 0
2. r(t) = (xo,yo,zo) + t(xo,yo,zo)
Playlists on various Course
1. Applied Electricity
2. Linear Algebra / Math 151
3. Basic Mechanics
4. Calculus with Analysis / Calculus 1 / Math 152
5. Differential Equations / Math 251
6. Electric Circuit Theory / Circuit Design
7. Calculus with Several Variables
00:00 - Introduction
05:13 - Tangent plane
10:21 - Normal line
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
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