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Vectors: lines in two and three dimensions?
An aeroplane climbs so that its position relative to the airport control tower t minutes after take-off is given by the vector r = (-1i - 2j + 0k) + t(4i + 5j + 0.6k), the units being kilometres. The x- and y-axes point towards the east and north respectively.
Calculate the closest distance of the aeroplane from the airport control tower during this flight, giving your answer correct to 2 decimal places.
To the nearest second, how may seconds after leaving the ground is the aeroplane at its closest to the airport control tower?
answers 1.68km and 20 seconds
An aeroplane climbs so that its position relative to the airport control tower t minutes after take-off is given by the vector r = (-1i - 2j + 0k) + t(4i + 5j + 0.6k), the units being kilometres. The x- and y-axes point towards the east and north respectively.
Calculate the closest distance of the aeroplane from the airport control tower during this flight, giving your answer correct to 2 decimal places.
To the nearest second, how may seconds after leaving the ground is the aeroplane at its closest to the airport control tower?
answers 1.68km and 20 seconds