The value of for which points A(2,2,1) , B(1,1,1) , C(- ,2,1) and… - Vidyadip

MCQ

The value of $\lambda $ for which points $A(2,2,1)$ , $B(1,1,1)$ , $C(-\lambda ,2,1)$ and $D(3,0,-1)$ are coplanar, is $\lambda =$ ............

✓
$-2$
B
$1$
C
$2$
D
$-1$

✓

Answer

Correct option: A.

$-2$

a
$[\overrightarrow {{\rm{AB}}} \,\overrightarrow {{\rm{AC}}} \,\overrightarrow {{\rm{AD}}} ] = 0$

$\Rightarrow\left|\begin{array}{ccc}{-1} & {-1} & {0} \\ {-\lambda-2} & {0} & {0} \\ {1} & {-2} & {-2}\end{array}\right|=0 \Rightarrow \lambda=-2$

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