Magnitude and Direction of a Vector - Calculator

An online calculator to calculate the magitude and direction of a vector.

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.

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    Updated: February 2015

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