What is unit vector ? White its formula
Answers
Explanation:
The normal vector is a vector which is perpendicular to the surface at a given point. It is also called “normal,” to a surface is a vector. When normals are estimated on closed surfaces, the normal pointing towards the interior of the surface and outward-pointing normal are usually discovered. The unit vector acquired by normalizing the normal vector is the unit normal vector, also known as the “unit normal.”Here, we divide a nonzero normal vector by its vector norm.
Unit Vector Formula
As explained above vectors have both magnitude (Value) and a direction. They are shown with an arrow [latex]\vec{a}[/latex]. [latex]\hat{a}[/latex] denotes a unit vector. If we want to change any vector in unit vector, divide it by the vector’s magnitude. Usually, xyz coordinates are used to write any vector.
It can be done in two ways:
[latex]\vec{a}[/latex] = (x, y, z) using the brackets.
[latex]\vec{a}[/latex] = x[latex]\hat{i}[/latex] + y [latex]\hat{j}[/latex] +z [latex]\hat{k}[/latex]
Formula for magnitude of a vector is:
[latex]\left | \vec{a} \right |=\sqrt{x^{2}+y^{2}+z^{2}}[/latex]
Unit Vector = [latex]\frac{Vector}{Vector’s magnitude}[/latex]
The above is a unit vector formula.
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