(Solved): 13. An airplane is flying on a bearing of \\( \\mathrm{S} 60^{\\circ} \\mathrm{W} \\) at \\( 30 ...

13. An airplane is flying on a bearing of \\( \\mathrm{S} 60^{\\circ} \\mathrm{W} \\) at \\( 300 \\mathrm{mph} \\). A strong jet-stream speed wind of \\( 70 \\mathrm{mph} \\) is blowing at \\( \\mathrm{S} 40^{\\circ} \\mathrm{E} \\). (a) Find the vector representation \\( \\langle a, b\\rangle \\) of the plane and of the wind. (b) Find the resultant vector \\( \\langle a, b\\rangle \\) that represents the actual course of the plane. (c) Give the resulting speed and bearing of the plane. Use calculator!!!