1.

A line L_(1) with direction ratios -3,2,4 passes through the point A(7,6,2) and a line L_(2) with directions ratios 2,1,3 passes through the point B(5,3,4). A line L_(3) with direction ratios 2,-2,-1 intersects L_(1) and L_(3) at C and D, resectively. The volume of parallelopiped formed by vec(AB), vec(AC) and vec(AD) is equal to

Answer»

140
138
134
130

Solution :VOLUME `[bar(AB)bar(AC)bar(AD)]=|{:(2,3,-2),(6,-4,-8),(0,2,-5):}|`=138


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