A helicopter has a speed in calm air of 170 kmh- and it's travelling on abearing of 120° relative to the air. The wind is blowing at a speed of30 kmh from the south-west.Take unit vectors i to point east and j to point north.(a) Express the original velocity b of the helicopter relative to the air andthe velocity w of the wind in component form, giving the numericalvalues in km h-1 to two decimal places.(b) Express the resultant velocity v of the helicopter in component form,giving numerical values in km h-¹ to two decimal places.(c) Hence find the magnitude and direction of the resultant velocity v ofthe helicopter, giving the magnitude in km h−¹ to one decimal place andthe direction as a bearing to the nearest degree.

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