A plane inclined at an angle of 30° with horizontal. Prove that the component of a vector A= -10k perpendicular to this plane is 5√3(here z direction is vertically upwards
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Explanation:
=> Here, z direction is vertically upwards
=> A plane inclined at an angle of 30° with horizontal.
∴θ = 30°
To prove that the component of a vector A= -10k perpendicular to this plane is 5√3, suppose, the force is acting on vertically downwards, F =-10k,
Thus, 10*cosθ = 10*cos 30° = 10 * √3/2 [because cos 30° = √3/2]
= 5√3
Thus, the component of a vector A= -10k perpendicular to this plane is 5√3.
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