Vector Sum/Component Definition/Examples

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Examples of Vector Sum: Definition by Components

Example $1$

Let:

\(\ds \mathbf a\) \(=\) \(\ds 6 \mathbf i + 4 \mathbf j + 3 \mathbf k\)
\(\ds \mathbf b\) \(=\) \(\ds 2 \mathbf i - 3 \mathbf j - 3 \mathbf k\)

Then:

$\mathbf a + \mathbf b = 8 \mathbf i + \mathbf j$