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Give examples of linear combinations of standard unit vectors
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Examples of linear combinations of standard unit vectors are:

  1. $(2,-3,4)=2 \mathbf{i}-3 \mathbf{j}+4 \mathbf{k}$
  2. $(7,3,-4,5)=7 \mathbf{e}_{1}+3 \mathbf{e}_{2}-4 \mathbf{e}_{3}+5 \mathbf{e}_{4}$
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