The geometric transformation specified by

$$\left[ {x'\,\,y'\,\,1} \right] = \left[ {x\,\,y\,\,1} \right]\left[ {\matrix{ {0.5} & 0 & 0 \cr 0 & {0.25} & 0 \cr 1 & 2 & 1 \cr } } \right]$$ in a $$2D.$$
In a $$2D$$ $$CAD$$ system represents................

In a $$CAD$$ package, a point $$P(6, 3, 1)$$ is projected along a vector $$v(-2, 1, -1).$$ The projection of this point on $$X-Y$$ plane will be

The interpolator in a $$CNC$$ machine controls

Blind hole $$10mm$$ diameter, $$50mm$$ deep are being drilled in steel block, drilling spindle speed is $$600rpm$$, feed $$0.2$$$$mm/rev,$$ point angle of drill is $$120.$$

During the above operation, the drill wears out after producing $$200$$ holes. Taylor's tool life equation is of the form $$V{T^{0.3}} = C,$$ where $$V=$$ cutting speed in $$m/min$$ and $$T=$$ tool life in $$min.$$ Taylor's constant $$C$$ will be