Let
be the origin.
Given that
be the vector point.
Find the magnitude.
\
(Apply distance formula)
(Substitute
)
(Subtract)
(Evaluate powers)
(Add)
(Use a calculator)
Graph
to determine how to find the direction.Draw a right tringle that has
as
its hypotenuse and an acute angle at
.


(Substitute
)
(Subtract)
(Simplify)

(Use a calculator)
The direction of
is
or about
.
The magnitude of
is about 39 and a direction of about
.