The coplanar points A, B, C, D are (2-x,2,2), (2,2-y,2), (2,2,2-z) and (1,1,1) respectively. Then

JEE Advanced Mathematics question

The coplanar points A, B, C, D are , , and respectively. Then

Answer: (A)

=x i-y j, =x i-z k, =(x-1) i- j- k .

Four points are coplanar iff these three vectors are coplanar:

=0 .

Expanding along the first

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Question ID VK-109693