Three concurrent edges of a parallelopiped are given by aligned a & =2 i -3 j + k , b & = i - j +2 k and c & =2 i + j - k aligned The volume of the parallelopiped is

Step-by-step solution

Given edges of a parallelopiped are a =2 i -3 j + k , b = i - j +2 k and c =2 i + j - k Volume of parallelopiped =[ a b c ]= | array ccc 2 & -3 & 1 1 & -1 & 2 2 & 1 & -1 array |=|2(1-2)+3(-1-4)+1(1+2)|=|-2-15+3|=14 cu units