Components of Vectors (Grade 11 NSC Matric Physical Sciences): Flashcards

Parts of a vector in horizontal and vertical directions

$R_x = R \cos(\theta)$

$R_y = R \sin(\theta)$

Resolving into components

Counter-clockwise from positive x-axis

Add all x-components, then add all y-components separately

$R = \sqrt{R_x^2 + R_y^2}$

$\theta = \tan^{-1}(\frac{R_y}{R_x})$

x-component negative, y-component positive

Both components negative