Question

If the force vector F acting along the centroid 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

The question was asked during a job interview.

My question is taken from Centroid of a Body in chapter Centre of Gravity and Centroid of Engineering Mechanics

Answer 1

Right option is (d) Zi + Xj + Yk

To explain I would say: 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 representor with their respective axis is creating confusion. Which must be figured out.