Vector Subtraction/Examples/Example 1

Examples of Vector Subtraction
Let:

Then:
 * $\mathbf a - \mathbf b = 4 \mathbf i + 7 \mathbf j + 6 \mathbf k$

Proof
By definition:
 * $\mathbf a - \mathbf b = \mathbf a + \paren {-\mathbf b}$

Summing $\mathbf a$ and $-\mathbf b$ by components: