In a hole drilling process, 30 hole positions were analyzed. the standard deviation of these 30 hole positions is 0.5 mm. by doing a measurement system r & r study, gage used to measure hole position haslatex: \sigma_{repeatability^{=0.4mm}} σ r e p e a t a b i l i t y = 0.4 m m , and latex: \sigma_{reproducibility^{=0.4mm}} σ r e p r o d u c i b i l i t y = 0.4 m m . what is the gage variation?

Idon’t quite understand this problem

You are given a vector a = 125i and an unknown vector b that is perpendicular to a. the cross-product of these two vectors is a × b = 98k. what is the y-component of vector b?

Consider a u-tube whose arms are open to the atmosphere. now equal volumes of water and light oil (ρ = 49.3 lbm/ft3) are poured from different arms. a person blows from the oil side of the u-tube until the contact surface of the two fluids moves to the bottom of the u-tube, and therefore, the liquid levels in the two arms are the same. if the fluid height in each arm is 30 in, determine the gage pressure exerted by the person on the oil by blowing.