Vectors can be added in an obvious way. In the diagram belowgoes fromto B and goes fromto
The vectorgoes fromtoWe can writeor .Importantly,so
Ifis split in some ratio by some pointthen we can findusing this ratio. Supposesplitsin the ratio 2:3, thenis in the ratio 2/3 so that andWe can label the triangle as below.
For a slightly more complicated example, consider the parallelogram below, withandsplitsin the ratio 1:2 andsplitsin the ratio 3:2. Find
Because ABCD is a parallelogram,
1.so using the first ratio in the questionand
2.so using the second ratio in the questionand