A particle 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 ^)