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1. (a) Give an example of three vectors a, b and c for which:
a x (b x c) (a x b) x c.
(b) A car travelling due East at 25 km/h feels the wind blowing directly from the
North in their frame of reference. If the car doubles its speed it finds that the wind
appears to blow from the North-East. Find the velocity (speed and direction) of
the wind. Suitable sketches should be provided.

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