Question

Explain the difference between an algebraic vector and a position vector.

Short answer

The algebraic vector is written as coordinates, represented as $v=⟨p,q⟩$and position vector starts from origin, represented as $\overrightarrow{OP}$.

Step-by-step solution

Step 1. Given Information 

We are given an algebraic vector and position vector.

We have to write the difference between them.

Step 2. Difference between Algebraic and position vector

Algebraic vector is written as $v=⟨p,q⟩$, Position vector written as $\overrightarrow{OP}$.

The difference between algebraic vector and position vector is that algebraic vector is written as coordinates and position vector starts from origin.