Given that .
Find the magnitude
\ (Apply distance formula)
(Substitute
)
(Product of two same signs is positive)
(Simplify)
(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
)
(Product of two same signs is positive)
(Simplify)
(Use a calculator)
The direction of is
or about
.
The magnitude of is about 12 and a direction of about
.