At 12:00 hours, a tanker sails from a point P with position vector (5i + 12j) km

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At 12:00 hours, a tanker sails from a point P with position vector (5i + 12j) km relative to an origin O. The tanker sails south-east with a speed of 12√2 km h-1.

a. Find the velocity vector of the tanker.

b. Find the position vector of the tanker at

i. 14:00 hours

ii. 12:45 hours.

c. Find the position vector of the tanker t hours after leaving P.

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