Mechanics → Mathematical Foundations of Mechanics → Vector Addition
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Vector Addition

Geometric Method

Vectors are added using the head-to-tail rule.

Analytical Method

$$ \vec{A} + \vec{B} = (A_x + B_x)\hat{i} + (A_y + B_y)\hat{j} + (A_z + B_z)\hat{k} $$

Diagram: Vector Addition

diagram