Vector Addition

Place vectors on a plane and see the resultant from head-to-tail or component addition. Reinforces magnitude, direction, and decomposition.

Who it's for: Physics and engineering prep; first-week vector skills.

Key terms

vector
resultant
components
head-to-tail
magnitude

How it works

Vectors add component-wise: R = A + B means R_x = A_x + B_x and R_y = A_y + B_y. Geometrically, place the tail of B at the head of A (or use the parallelogram rule). The cyan arrow shows the resultant.

Key equations

A_x = |A| cos θ, A_y = |A| sin θ

R_x = A_x + B_x, R_y = A_y + B_y

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