Mechanics - Vectors

Pearson Edexcel Mathematics 2022

Created: September 22, 2020 | Read markdown | About these notes | View in context | Study these flashcards |

Unit vectors

What is $\hat{i}$?

i-hat-is-x-unit-vector

The unit vector in the x direction.

What is $\hat{j}$?

j-hat-is-y-unit-vector

The unit vector in the y direction.

What is the unit vector in the x direction?

x-unit-vector-is-i-hat
\[\hat{i}\]

What is the unit vector in the y direction?

y-unit-vector-is-j-hat
\[\hat{j}\]

Converting between column and unit vector form

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

column-to-unit-vector-example
\[-2\hat{i} + 3 \hat{j}\]

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

unit-to-column-vector-example
\[\begin{matrix}4 \\ -2\end{matrix}\]

Magnitude of vectors

What is the magnitude of displacement?

magnitude-of-displacement-is-distance

Distance.

What is the magnitude of velocity?

magnitude-of-velocity-is-speed

Speed.

What does $ \vert v \vert $ mean?

modulus-v-means-magnitude

The magnitude of $v$.

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

magnitude-notation-modulus-v
\[ \vert v \vert \]

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

total-distance-magnitude-of-sum
\[ \vert a + b \vert \]


Related posts