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Question
The points 2^i−^j−^k,^i+^j+^k,2^i+2^j+^k,2^j+5^k are
The points 2^i−^j−^k,^i+^j+^k,2^i+2^j+^k,2^j+5^k are
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Solution
The correct option is B coplanar but not collinear
→AB=−^i+2^k,→AC=^j+2^k,→AD=−2^i+^j+6^k,
A, B, C, D are not collinear.
Box=∣∣
∣∣−102012−216∣∣
∣∣=−1(6−2)+2(0+2)=−4+4=0.
∴ A, B, C, D are coplannar.
→AB=−^i+2^k,→AC=^j+2^k,→AD=−2^i+^j+6^k,
A, B, C, D are not collinear.
Box=∣∣ ∣∣−102012−216∣∣ ∣∣=−1(6−2)+2(0+2)=−4+4=0.
∴ A, B, C, D are coplannar.
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