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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 +hak) = 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 . nr (hati + hatj + hatk)`
`= (-hati + hatj + 2hatk) . (hati + hatj + hatk)`
`=(-1+ 1 + 2)`
`r. (hati + hatj + hatk) = 2`
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