Mechanics - Vectors | Olly Britton

What is $\hat{i}$?

The unit vector in the x direction.

What is $\hat{j}$?

The unit vector in the y direction.

What is the unit vector in the x direction?

\[\hat{i}\]

What is the unit vector in the y direction?

\[\hat{j}\]

What is $\begin{matrix}-2 \ 3\end{matrix}$ in unit vector form?

\[-2\hat{i} + 3 \hat{j}\]

What is $4\hat{i} - 2\hat{j}$ in column vector form?

\[\begin{matrix}4 \\ -2\end{matrix}\]

What is the magnitude of displacement?

Distance.

What is the magnitude of velocity?

Speed.

What does $ \vert v \vert $ mean?

The magnitude of $v$.

What is the notation for the magnitude of $v$?

\[\vert v \vert\]

Given two displacement vectors $a$ and $b$, how can you find their total distance?

\[\vert a + b \vert\]