Question: This is Calculus course especially about vectors. I need help with some questions. I also attached formula sheet in case you need it as a


This is Calculus course especially about vectors. I need help with some questions. I also attached formula sheet in case you need it as a reference.


8. An aircraft on a bearing of 170 and travelling at 200 km/h is affected by a wind bearing 270 and blowing at 75 km/h. Find the resultant vector (USING Vector decomposition) in scalar component form [4 marks] 9. If a = i+ j and b = 3i -2j, determine if the following vector pairs are collinear. [4 marks] a) a and b b) 5a + 5band - b+- a 2 2 10. Given the points A(-1,2) and B(2,5), determine: [2 marks] a) AB b) AB + BA 11. Given m = (2,0, -1) and n = (0,-2,3), determine the following: [2 marks] a) m - 2n b ) 2 m -nFormulas: a . b = lal|b|cose |axb = lallb|sine a a = lal scalar proja onto b = lalcose vector proja onto b = lalcose W = |d| |F|cose IT| = 171/F/sine Area of a paralellogram = lax b|
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