Working with Vectors (Edexcel A-Level Mathematics): Flashcards

Magnitude and direction

$\hat{i}$ and $\hat{j}$

$A_x = A \cos \theta$

$A_y = A \sin \theta$

Place tail of $\vec{B}$ at head of $\vec{A}$

Resultant vector $\vec{R}$

$(A_x + B_x) \hat{i} + (A_y + B_y) \hat{j}$

$|\vec{A}| = \sqrt{A_x^2 + A_y^2}$

$\theta = \tan^{-1} \left(\frac{A_y}{A_x}\right)$

$|\vec{A}| |\vec{B}| \cos \theta$

$A_x B_x + A_y B_y$

$|\vec{A}| |\vec{B}| \sin \theta$

Right-hand rule

Resultant force is zero: $\sum \vec{F} = \vec{0}$

$W = \vec{F} \cdot \vec{d}$