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The length of perpendicular from the ori...

The length of perpendicular from the origin to the plane `vecr.(-3hati-4hatj-12hatk)+39=0` is

A

3 units

B

`13/5` units

C

`5/3` units

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Given plane is `vecr.(3hati+4hatj+12hatk)=39`.
`vecr.vecn=39 rArr vecr.ven/|vecn|=39/|vecn|=39/|vecn|`.
And, `|vecn|=sqrt((-3)^(2)+4^(2)+(12)^(2))=sqrt(169)=13`.
`therefore vecr.hati=39/13=3` units. Hence, p=3 units.
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