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School of Mathematics and Statistics, The University of Sydney
 3. Addition and subtraction of vectors
Main menu Section menu   Previous section Next section The triangle rule for addition Subtraction of vectors
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Adding a vector to its negative

Page 4 of 7 

To add u to -u, place the tail of -u = ---> AO at the head of u = - --> OA.

      - u                 A O      u

Then u + (-u) = -O-->O = 0, the zero vector. By the commutative law,

u + (- u) = - u + u = 0.

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Main menu Section menu   Previous section Next section The triangle rule for addition Subtraction of vectors