Question

tion No. 6
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Normal vector to the surface xlogz - y² +1 = 4 at the point (1,1,1) is given by
(a) -2i+ſ
(b)-2j+k
(c)2i-k​

Answer 1

Answer:

C.2i.-K

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Answer 2

The correct option is, (c)2i-k​.

What is Normal vector to the surface?

• The normal vector, often simply called the "normal," to a surface is a vector which is perpendicular to the surface at a given point.
• When normals are considered on closed surfaces, the inward-pointing normal (pointing towards the interior of the surface) and outward-pointing normal are usually distinguished.

What is the normal vector equal to?

• Any nonzero vector can be divided by its length to form a unit vector.
• Thus for a plane (or a line), a normal vector can be divided by its length to get a unit normal vector.
• Example: For the equation, x + 2y + 2z = 9, the vector A = (1, 2, 2) is a normal vector. |A| = square root of (1+4+4) = 3.

What is normal use?

• 'Normal use' is the use made in accordance with the purpose for which the complex product is intended.

Hence, Normal vector to the surface is 2i-k​.

Learn more about Normal vector to the surface here,

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