Calculus II/Vector Geometry Operation

Vector Geometry Operations

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Addition and Subtraction

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If   and   are vectors,

Then the sum

  is also a vector (see Figure 2(a)).

The two vectors can also be subtracted from one another to give another vector

 .

Multiplication by a scalar

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Multiplication of a vector   by a scalar   has the effect of stretching or shrinking the vector (see Figure 2(b)).

You can form a unit vector   that is parallel to   by dividing by the length of the vector  . Thus,