Calculus II/Vector Geometry Operation

Vector Geometry Operations edit

Addition and Subtraction edit


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 edit

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,