Griffiths points out that not all twocomponent quantitities

Griffiths points out that not all two-component quantitities (the example is a \"vector\" with components representing apples and oranges) are real vectors. Why not? Write up your understanding of the argument for what distinguishes a vector in a few sentences

Solution

Answer:

The mathematical definition of vector space requires only two operations: addition and scalar multiplication.  It is easy to check that these operations on fruit vectors satisfy the above definition.

For example: Can I rotate an apple to get orange?. The above operations distinguishes to be a vector.