i need somone who can do this quesstions correctly :
1- A displacement vector in the xy plane is 52 m long and directed at angle θ = 22° in the figure. Determine (a) the x component and (b) the y component of the vector.
2- In the figure, a heavy piece of machinery is raised by sliding it a distance d = 17.7 m along a plank oriented at angle θ = 37.8 ° to the horizontal. How far is it moved (a) vertically and(b) horizontally?
3-Find the (a) x, (b) y, and (c) z components of the sum of the displacements and whose components (in meters, m) along the three axes are cx = 3.9, cy = -4.3, cz = -6.5; dx = 4.3, dy = -1.9, dz = 3.3.
4- For the vectors and , give in (a) unit-vector notation, and as (b) a magnitude and (c) an angle (relative to in the range of (-180°, 180°]). Now give in (d) unit-vector notation, and as (e) a magnitude and (f) an angle (relative to in the range of (-180°, 180°])