A) 1
B) 4
C) 3
D) no value of m for which vectors are coplanar
Correct Answer: D
Solution :
Given vectors are coplanar, if \[\left| \begin{matrix} 1 & 1 & m \\ 1 & 1 & m+1 \\ 1 & -1 & m \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[\left| \begin{matrix} 0 & 0 & -1 \\ 1 & 1 & m+1 \\ 1 & -1 & m \\ \end{matrix} \right|=0\] \[[{{R}_{1}}\to {{R}_{1}}-{{R}_{2}}]\] \[\Rightarrow \]\[-1(-1-1)=0\] \[\Rightarrow \]\[2\ne 0\] \[\therefore \]No value of m for which vectors are coplanar.You need to login to perform this action.
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