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pure maths

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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
 
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