Vectors II

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. Suppose splitsin the ratio 2:3, thenis in the ratio 2/3 so that and We 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, using the first ratio in the questionand using the second ratio in the questionand


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