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Vector Arithmetic
In this part we need to have a brief discussion of vector arithmetic.
Addition
We will begin with addition of two vectors. Thus, given the vectors a = a1 , a2 , a3 and b = b1 , b2 , b3 the addition of the two vectors is illustrated by the following formula.
a→ + b→ = (a1 + b1 , a2 + b2 , a3 + b3)
The following diagram gives the geometric interpretation of the addition of two vectors.
This is occasionally known as the parallelogram law or triangle law.
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5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1
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