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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