MHT CET202415 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

If the vector c lies in the plane of a and b , where a = i - j +2 k , b = i + j + k and c =x i -(2-x) j - k , then the value of x is

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Correct answer

D. -2

Step-by-step solution

According to the given condition, vectors a , b , c are coplanar. aligned & a ( ~b c )=0 & | array ccc 1 & -1 & 2 1 & 1 & 1 x & x-2 & -1 array |=0 & 1(-1-x+2)+1(-1-x)+2(x-2-x)=0 & & 1-x-1-x-4=0 & x=-2 aligned

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