EN · MATH · GLOBAL-3L-20260826-015

Vector components worksheet

Generate vector-component addition tasks with guided solutions.

Add vectors by components

The vector components worksheet generates coordinate-based addition tasks with guided solutions, connecting directed movement to algebraic component sums.

Establish direction first

Read each vector’s horizontal and vertical direction from the diagram or notation before recording its components and their signs.

Combine matching components

Add horizontal components together and vertical components together, keeping the coordinate order fixed throughout the calculation.

Use the diagram as a check

Sketch the resultant vector head-to-tail or from the origin to see whether its direction is plausible for the calculated component pair.

Inspect signs in solutions

Review guided steps for sign errors, particularly when a vector points left or down and therefore contributes a negative component.