Practice Vector Addition in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Vector addition combines vectors component-wise or head-to-tail to produce a resultant vector.

Walk one arrow, then another; the single shortcut arrow is their sum.

Example 1

easy
Add \langle 2, 1 \rangle + \langle -1, 3 \rangle.

Example 2

medium
Find \mathbf{u} + \mathbf{v} + \mathbf{w} where \mathbf{u} = \langle 1, -2, 3 \rangle, \mathbf{v} = \langle 0, 5, -1 \rangle, \mathbf{w} = \langle -3, 1, 2 \rangle.

Example 3

easy
Add \langle 5, -3 \rangle + \langle -5, 3 \rangle.

Example 4

medium
A boat travels \langle 4, 3 \rangle km then \langle -1, 5 \rangle km. What is the total displacement?
← Back to Vector Addition Worked Examples Formula Explained