The position vectors particle has length 1m and makes `30^(@)` with the x-axis. What are the lengths of the x and y components of the position vector?

Explanation

Length of position vector = 1 m, Angle made with x axis =30
`"Length of X component (OB)" = OA cos theta = 1 xx cos 30^(@)`
`l_(x)= (sqrt(3))/(2)`m or 0.87m
`"Length of Y component (AB)" =OA sin theta =1 x sin 30^(@) = (1)/(2) = 0.5 m. , l_(y)=0.5 m `