Mechanics - Vectors
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 $v$?
\[|v|\]
Given two displacement vectors $a$ and $b$, how can you find their total distance?
\[|a + b|\]