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
.