4 questions

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.

(a)

Number

(b)

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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?

(a)

Number

(b)

Number

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 c_x = 3.9, c_y = -4.3, c_z = -6.5; d_x = 4.3, d_y = -1.9, d_z = 3.3.

(a)

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(b)

Number

(c)

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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°])

(a)

Number

(b)

Number

(c)

Number

(d)

Number

(e)

Number

(f)

Number