SOLUTION: A vector v of length 6 makes a 150-degree angle with the vector [1, 0], when they are placed tail-to-tail. Find the components of v.

Vector  [1,0]  lies on x-axis and is collinear with it (has the same direction).


Therefore, vector  " v " makes the angle of 150 degrees with x-axis and has the length of 6 units.


Hence,  x-component of the vector v is 6*cos(150°) = -  = - ;

        y-component of the vector v is 6*sin(150°) =     = 3.