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For a non zero real number x if the poin...

For a non zero real number x if the points with position vectors
`(x-u)hati+xhatj+xhatk,xhati+(x-v)hatj+xhatk,xhati+xhatj+(x-w)hatk` and `(x-1)hati+(x-1)hatj+(x-1)hatj` are coplanar then

A

`U + V + W=1`

B

`uvw= 1`

C

`(1)/(u ) + (1)/(v ) + (1)/(w ) =1`

D

`uv + vw + uw =1`

Text Solution

Verified by Experts

The correct Answer is:
C
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