1 Group 8     back   next question   back to list

Question 1. Given points A=[1,1],   B=[4,1],   C=[3,-2],   D=[0,-2].   The deviation ω   between the diagonals of the parallelogram ABCD  is
a) ω=arccos1365  
b) ω=arccos(-1365)  
c) ω=arccos81365  
d) ω=arcsin(-1365)  
e) ω=arccos61365  
Question 2. The midline tb   of the triangle ABC,   where A=[5,2],   B=[-2,1]   and C=[0,5],   lies on the straight line
a) x=-2+9s,   y=1+5s,   s  
b) x=-2+5s,   y=1+9s,   s  
c) x=-2-5s,   y=1+9s,   s  
d) x=9s,   y=1+5s,   s  
e) x=-1+3s,   y=-2+s,   s  
Question 3. The orthogonal projection of the point A=[4,4,-1]   onto the plane X=[2,1,3]+t(1,0,1)+u(1,1,2),   t,u  is
a) [1,2,3]  
b) [1,1,2]  
c) [2,1,2]  
d) [2,2,2]  
e) [1,1,1]  

Evaluate