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The equation of the plane through (-1,1,...

The equation of the plane through (-1,1,2), whose normal makes equal acute angles with coordinate axes is

A

`r*(hati+hatj+hatk)=2`

B

`r*(hati+hatj+hatk)=6`

C

`r*(3hati-3hatj+3hatk)=2`

D

`r*(hati-hatj+hatk)=3`

Text Solution

Verified by Experts

The correct Answer is:
A
The equation of plane passing through `a=-hati+hatj+2hatk`
and perpendicular to `n=hati+hatj+hatk` is `r*n=a*n`
`r*(hati+hatj+hatk)=(-hati+hatj+2hatk)*(hati+hatj+hatk)`
`=(-1+1+1)`
`r*(hati+hatj+hatk)=2`
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