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प्रश्न
The perpendicular distance of the plane `barr.(2hati +3hatj-hatk)=5`, from the origin is ______.
विकल्प
`5/sqrt14` units
`5/14` units
5 units
`sqrt14/5` units
MCQ
रिक्त स्थान भरें
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उत्तर
The perpendicular distance of the plane `barr.(2hati +3hatj-hatk)=5`, from the origin is `bbunderline(5/sqrt14units)`.
Explanation:
Comparing `barr.(2hati +3hatj-hatk)=5` with `barr.barn=p`, we get
`barn=2hati +3hatj-hatk` and p = 5
Length of the perpendicular from the origin to the plane = `p/|n|`
= `5/sqrt(2^2+3^2+(-1))`
= `5/sqrt(4+9+1)`
= `5/sqrt14` units
shaalaa.com
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