Hint:We are given a statement, the statement has two parts. First know the meaning of localized vectors and non-localized vectors. Then analyze each part using this definition of localized and non-localized vectors and check whether they are correct or incorrect.
Given the statement, displacement and velocity are examples of localized vectors while position vector is an example of non-localized vector.First let us know what are localized vectors and non-localized vectors, localized vectors are vectors which have their initial point fixed or the final point that is the tail is fixed, they are also known as fixed vectors.
Non-localized vectors are vectors whose initial point or final point that is the tail is not fixed, they are also known as free vectors.In the first part, it is said that displacement and velocity are examples of localized vectors. Lets analyze this statement displacement vectors is a localized vector as its initial and final point is fixed but velocity is a non localized vector as it has no fixed initial or final point. Therefore this part is incorrect.In the second part, it is said that position vector is a non-localized vector. Position vector is a localized vector as it has an initial point fixed, therefore this part is also incorrect.
Hence, the answer is option B.
Note:Here we have discussed two types of vectors; these are localized or fixed vectors and non-localized or free vectors. Some other types of vectors are,
1. Zero vector:-Zero vectors are vectors whose magnitude of the vector is zero.
2. Unit vector:- Unit vectors are vectors whose magnitude of the vector is one.
3. Coinitial vectors:- When two or more vectors have same initial point, they are known as coinitial vectors
4. Collinear vectors:- When two or more vectors lie on the same or parallel lines, they are known as collinear vectors.