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 = OA = 1 m = l
x = component of length = ` l_(x) ` = ?
y = component of length `l_(y) ` = ?
` cos 30^(@) = l_(x)/l = l_(x)/l = l_(x)`
` 1_(x) = cos 30^(@)m= sqrt3/2`
` sin 30^(@) = l_(y)/l = 1_(y)`
` 1_(y) = sin 30^(@) = 1/2`
` 1_(x) = sqrt3/2 : 1_(y) = 1/2 `