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Find the vector equation of a plane whi...

Find the vector equation of a plane which is at a distance of `7` units from the origin and normal to the vector `3 hat i+5 hat j-6 hat k`.

A

`6sqrt70`

B

`5sqrt70`

C

`8sqrt70`

D

`7sqrt70`

Text Solution

Verified by Experts

The correct Answer is:
D
`hatn=(3hati+5hatj-6hatk)/sqrt70`
`vecr*hatn=a`
`hatn`=unit vector along normal
d=distance from origin
`vecr*(3hati+5hatj-6hatk)/sqrt70=7`
`vecr*(3hati+5hatj-6hatk)=7sqrt70`
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