Vector Addition (Edexcel A-Level Mathematics): Flashcards

Combining two or more vectors to form a resultant vector.

Place them head to tail and draw the resultant vector.

The combined effect of the original vectors.

Magnitude is $\sqrt{x^2 + y^2}$ for components $x$ and $y$.

$R_x = A_x + B_x$ for corresponding vector components.

Angle $\theta$ is found using $\arctan(R_y/R_x)$.

$R = (4, 2)$ after adding components.

$|R| = \sqrt{4^2 + 2^2} = \sqrt{20} \approx 4.47$.

$\theta \approx 26.57°$ above the positive $x$-axis.

It's precise and useful for solving complex problems.