Triangle and parallelogram in the space

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Area of triangle formed by a 1 = ( 3 , 1 , 2 ) , b 1 = ( 3 , 5 , 5 ) \overline{a_1}=(3,1,2), \overline {b_1} = (3,-5,5) is equal to the area of the parallelogram formed by a 2 = ( 4 , 7 , 3 ) , b 2 = ( 4 , 6 , x ) \overline{a_2} = (4,7,3), \overline{b_2}=(4,6,x) . Let y 1 y_1 and y 2 y_2 are the possible values that satisfy x x . What is the value of y 1 + y 2 \lfloor y_1+y_2 \rfloor ?


The answer is 5.

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