Given the graph below,
determine the position vector of the point with respect to the origin point , and find its norm.
The position vector of a given point with respect to the origin is the directed line segment which has the origin as its starting
point and the given point as its terminal point. Thus, since the starting point of the position vector of is the origin, or
point , and since the terminal point, , of the vector has the coordinates , the vector is .
Now use the fact that if , then
to calculate .
Thus, the position vector of point with respect to the origin is , and its norm is length units.