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

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 $$120.$$

Machining time (in min) per hole will be