magnitude and direction of vectors

[hailstone]

hi i need help, my math teacher just gave us a new chapter about the magnitude and direction of a vector and i have no clue how to do it , will you help me?
ex. a= (3,2) find the magnitude and direction of the vector.

thanks,
Wendi

 

[pka]

The magnitude is \(\displaystyle \L\sqrt {3^2 + 2^2 }\).
Its direction is \(\displaystyle \L \arctan \left( {\frac{2}{3}} \right)\)