Questions asked by Özgür Ö.

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• Consider the quadrilateral #ABCD#, and let #E, N, F, M# be the midpoints of the edges #AB, BC, CD, DA# respectively. How do you prove that #vec(EF)=1/2(vec(AD)+vec(BC))# and #vec(AC)=vec(MN)+vec(EF)#?
  
• If #vecu=(3,-1)# and #vecv=(-6,4)#, then how do you find the angle between #u# and #v# vectors?
  
• If #vecu# and #vecv# are vectors, then how do you proove that #∣vecu+vecv∣^2-∣vecu-vecv∣^2=4vecuvecv# ?