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Instructions: Give complete solutions including diagrams for each of the following. 6K, 143;, 4113 marks 1. Given: unit vectors it and j: J placed tail

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Instructions: Give complete solutions including diagrams for each of the following. 6K, 143;, 4113 marks 1. Given: unit vectors it and j: J placed tail to tail as shown, with an angle of 60' between them. a) Draw the vector it + J} _ (2K) b) Draw the vector 3}? 2:6 and calculate its magnitude. (4K) (1C) 2. A pilot ies on a bearing of 166' at an airspeed of 25katl1A 3kmth wind is blowing om a bearing of [EU . Determine the resultant ground velocityr and direction of the plane using either the triangle law of addition or vector components. (5:1) (1C) 3. M30 hasvertices at .4(2,3}, Mae} and (rt4,11]. a) Sketch and label each of the points on a graph. b) Calculate |Ai| |Ac| and |ca|_ (591) c) Verify that WC is a right triangle. using the dot product. (3:1) (2C)

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