A vector in x - y plane makes an angle of 30 o with y -axis. The magnitude of y -component of vector is 2 3 . The magnitude of x -component of the vector will be :

Step-by-step solution

The angle made by the vector on x   axis is θ = 90 ° - 30 ° = 60 ° Let the vector be a → . It is given that a y = 2 3 ⇒ a sin 60 ° = 2 3 ⇒ a 3 2 = 2 3 ⇒ a = 4 x component is a x = a cos 60 ° ⇒ a x = 4 × 1 2 = 2