A vector is a quantity which has both size and direction. For example:
The angle of the arrowshows the vector's direction. This page is all about how to combine, or add, two vectors. When two vectors are pointing in the same direction, the method for adding them is just a straight addition problem. For example, moving 20 km west, and then moving 15 km west, results in a total of 35 km west. Similarly, if the two directions are pointing in exactly opposite directions, it's just a subtraction problem. For example, moving 20 km west, and then moving 15 km east, results in a total of 5 km west. Here's a simple inline vector addition problem in sports, relating to throwing a javelin. It's when the two vectors are not pointing in the same or exactly opposite direction that adding them together gets a little complicated. For example, how would you find out the result of moving 20 km west, and then 15 km north? That's what this page is about. Adding vectors:
Finding the sum by:
