# What are common mistakes students make with 2-D vectors?

See explanation below

#### Explanation:

Common mistakes are not actually very common. This depends on a particular student. However here are a few probable mistakes which a student can make with 2-D vectors

1.) Misunderstand the direction of a vector.

Example: $\vec{A B}$ represents the vector of length $A B$ which is directed from point $A$ to point $B$ i.e. point $A$ is tail & point $B$ is head of $\setminus \vec{A B}$

2.) Misunderstand the direction of a position vector

Position vector of any point say $A$ always has the tail point at the origin $O$ & head at the given point $A$

3.) Misunderstand the direction of vector product $\setminus \vec{A} \setminus \times \setminus \vec{B}$

Example: The direction of $\setminus \vec{A} \setminus \times \setminus \vec{B}$ is given by right hand screw rule. Before applying right hand screw rule, the point to be noted is that both the vectors $\setminus \vec{A}$ & $\setminus \vec{B}$ must converging or diverging at the point of intersection.

Note: Two non parallel vectors can be made intersecting by shifting them in their respective parallel directions

There may be other common mistakes as well but above are few of them .