Representation of Vectors

A vector can be represented in component form using unit vectors.

$$ \vec{A} = A_x \hat{i} + A_y \hat{j} + A_z \hat{k} $$

Where:

• $A_x, A_y, A_z$ are components
• $\hat{i}, \hat{j}, \hat{k}$ are unit vectors along $x, y, z$

Magnitude of a Vector

$$ \lvert\vec{A}\rvert = \sqrt{A_x^2 + A_y^2 + A_z^2} $$

Diagram: Vector Components