Three Dimensional Geometry Question 166
Question: The points $ A(4,5,1),B(0,-1,-1),C(3,9,4) $ and $ D(-4,4,4) $ are
[Kurukshetra CEE 2002]
Options:
A) Collinear
B) Coplanar
C) Non- coplanar
D) Non- Collinear and non-coplanar
Show Answer
Answer:
Correct Answer: B
Solution:
$ AB\equiv (-4,-6,-2); $ $ AC\equiv (-1,4,3) $ ; $ AD\equiv (-8,-1,3) $
Points A, B, C, D are coplaner, if $ [\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{AD}]=0 $
Þ $ | \begin{matrix} -4 & -6 & -2 \\ -1 & 4 & 3 \\ -8 & -1 & 3 \\ \end{matrix} |=0 $ .
BETA
