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Q1. The gearshift lever AB for the transmission of a sports car has position vector r whose line of action passes through points A and B. The driver applies the force F to the knob B of the lever to shift gears. Find out the magnitude of the component of F vertical to the gearshift lever. Take r = (4i + 6j - 9k) mm and F = (-2i + 6j + 10k) N.

Q2. Antartica is roughly semicircular, with a radius of 2000 km. The average depth of the ice layer is 3000m. How many cubic centimeters of ice does Antarctica contain?

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