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Subtraction - Vector arithmetic
Computationally, subtraction is very similar. Given the vectors a→= (a1, a2, a3) and b→ = (b1, b2, b3) the difference of the two vectors is given by,
a→ - b→ = (a1 - b1 , a2 - b2 , a3 - b3)
Now here is the geometric interpretation of the difference of two vectors.
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These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w
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