Among the following a unit vector is
Answers
Answer
The complete que whiich the user might be asking is-
A ]iˆ+jˆ
B]cosθiˆ−sinθjˆ
C]sinθiˆ+2cosθjˆ
D ]13–√(iˆ+jˆ)
The correct answer is-B]cosθiˆ−sinθjˆ
Explanation:
(b)Since, Unit vector has a magnitude equal to 1.
Therefore, it is a unit vector.
Unit Vector-
A vector is a quantity that has both magnitude, as well as direction. And when the vector has a magnitude of 1 is a unit vector. It is also known as Direction Vector.
Unit Vector Symbol
Unit Vector is represented by the symbol ‘^’, which is called a cap or hat,
Unit normal vector-
It is a vector which is perpendicular to the surface at a given point. It is 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.
Unit Vector Formula
Since, vectors have both magnitude (Value) and a direction. They are shown with an arrow.
Inorder to change any vector in unit vector,
- Divide vector by the vector’s magnitude.
Use of unit vector
These unit vectors arey used to indicate-
direction, with a scalar coefficient providing the magnitude.
A vector decomposition can then be written as a sum of unit vectors and scalar coefficients.