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When one of the vectors is a zero vector:

length(u + 0) <= length(u) + length(0)

Adding the Zero Vector

Add the zero matrix ( 0, 0 )T to the matrix ( 4, 3 )T. If (0, 0)T represents a displacement vector, it means do nothing to change position.


Now consider what this might mean: add the vector (1, 2)T to the point (4, 4)T.

If you think that makes sense, then do the calculation. What type of object is the result?