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If the force vector F acting along the centre of gravity is having its x-axis component being equal to Z N, y-axis component be X N and z-axis component be Y N then vector F is best represented by?

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If the force vector F acting along the centre of gravity is having its x-axis component being equal to Z N, y-axis component be X N and z-axis component be Y N then vector F is best represented by?

(a) Xi + Yj + Zk

(b) Yi + Xj + Zk

(c) Zi + Yj + Xk

(d) Zi + Xj + Yk

I had been asked this question in examination.

This intriguing question originated from Centre of Gravity topic in section Centre of Gravity and Centroid of Engineering Mechanics

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Right choice is (d) Zi + Xj + Yk

Best explanation: It is given that x, y and z-axis components are Z, X and Y respectively. Thus, just by placing the right coordinates we get option d to be correct. Here just the interchange of the axis’s represented with their respective axis is creating confusion. Which must be figured out.

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