Let v be a vectors given in component form by

v = <a , b>

The magnitude || v || of vector v is given by

|| v || = sqrt(a^{ 2} + b^{ 2})

and the direction of vector v is angle t in standard position and in couterclockwise direction such that

tan(t) = v / u

__How to use the calculator__
1 - Enter the components of vector v as real numbers and press "enter". The magnitude || v || and direction __IN DEGREES__ are displayed.

More on vectors.