The magnitude of the position vector of the point (3, 4) will be ____________ ___
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Solution
The position vector of the point with coordinates as (3,4) on a x-y plane will look like
To calculate its modulus i.e., length of OA, use Pythagoras theorem in triangle OAB OA2=OB2+AB2 OA2=32+42 OA2=25 OA = 5 So in general √x2+y2 is the modulus of the vector with coordinates (x,y).