Aparticle undergoes a displacement δr⃗ of magnitude 54 m in a direction 42 ∘ below the x axis. express δr⃗ in terms of the unit vectors x^ and y^.

There are several ways to write this vector:
 Form 1: 
 Angle measured clockwise from the x axis
 Δr = 54 * (cos (42) x ^ - sin (42) y ^)
 Form 2: 
 Angle measured counterclockwise from the x axis
 Δr = 54 * (cos (318) x ^ + sin (318) y ^)
 answer
 Δr = 54 * (cos (42) x ^ - sin (42) y ^)
 Δr = 54 * (cos (318) x ^ + sin (318) y ^)

If one were to put the y value into the equation, they could find out what x is for a certain value of y.  putting in the value of y (1), we get the equation: 1=4x-12=4xx=0.5this means that the value of x when why is 1 is x=0.5