define unit vector. write its 4 properties?
Answers
Answer:
A vector is a quantity which has both magnitudes, as well as direction. A vector which has a magnitude of 1 is a unit vector. It is also known as Direction Vector.
For example, vector v = (1,3) is not a unit vector, because its magnitude is not equal to 1, i.e., |v| = √(12+32) ≠ 1. Any vector can become a unit vector by dividing it by the magnitude of the given vector.
Unit Vector Symbol:
Unit Vector is represented by the symbol ‘^’, which is called as cap or hat.
What is the unit normal vector?
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 a⃗ . a^ 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.
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