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Question 1. The oriented segment AB→   represents the vector v=(3,5)   and S=[4,1]   is the centre of the segment AB.   The point A  is
a) A=[52,-32]  
b) A=[72,12]  
c) A=[2,12]  
d) A=[112,72]  
e) A=[32,52]  
Question 2. Given straight line X=[-3,2]+t(4,-1),   t∈ℝ.   Determine the values of a parameter t   for which the points of the straight line are within the first quadrant.
a) t∈⟨2,∞)  
b) t∈⟨34,∞)  
c) t∈(-∞,34⟩  
d) t∈⟨34,2⟩  
e) t∈(-∞,2⟩  
Question 3. Find the equation of a plane which is parallel with the plane ABC,   where A=[-2,0,4], B=[4,6,1], C=[-2,6,7],   and the distance between them is 3.  
a) 2x-y+2z+7=0,   2x-y+2z+8=0  
b) 2x-y+2z-3=0,   2x-y+2z+3=0  
c) 2x-y+2z-11=0,   2x-y+2z+7=0  
d) 2x-y+2z-19=0,   2x-y+2z+6=0  
e) 2x-y+2z-13=0,   2x-y+2z+5=0  

Evaluate