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MI 4 October 24, 2011 Vectors Quiz 1 Sheets 1-4 Name _________________ Mods ______ Draw well labeled diagrams to explain your answers and show sufficient work: 1a. Given the vectors v = <-2, 2> and w = <1, 4>. Draw and label vectors v and w and use the parallelogram method to draw and label v + w. b. Find the following for the vectors in part (a): a. v = b. 2v 3w = c. v = 2. Find a vector of length 2 whose direction is the opposite of the direction of the vector v iˆ 2 ˆj . Write your answer in component form. 4. A plane which can fly at 450 mph desires to travel in the direction N 40° W but he must contend with a 45 mph wind from the east. What direction should the plane take to compensate for the wind? Draw a well labeled diagram to justify your answer. Round your answer to the nearest hundredth. 5. For a parallelogram ABCD, given G is a midpoint of AB and E & F trisect AC. AG = u and AD w . Find the following, in terms of vectors u and w . a. AC B G b. AF = C E F A D c. FD = 6. Find the magnitude and the direction of the vector: u 2 (cos 30 )i + (sin 30 ) j . IMSA VectorsQ1 F11