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Topic 51 · lesson 2 of 4

Vector Addition And Subtraction

Clear explanations and worked examples from the Math-Mate school maths textbook.

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Vector Addition and Subtraction

Adding vectors

To add two vectors together, start by drawing the first one.  Then, beginning at the arrowhead of the first vector, start drawing your second vector.  The answer is the vector from the start of your first vector to the end of your second vector.  So if I wanted to add Mathematical diagram and Mathematical diagram:

Mathematical diagram

I’d need to start drawing Mathematical diagram at the arrowhead of Mathematical diagram:

Mathematical diagram

The answer vector is vector Mathematical diagram, shown by the thick grey line in the diagram.

Subtracting vectors

You never directly subtract vectors, instead you reverse the direction of them and add them.  For instance, say I had to do this:

Mathematical diagram

What I’d need to do is reverse the direction of vector Mathematical diagram and then just add it:

Mathematical diagram