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Find the vector and Cartesian equations of a plane which is at a distance of 5 units from the origin and which has `hatk` as the unit vector normal to it.

Text Solution

Verified by Experts

The correct Answer is:
`vecr.hatk=5,z=5`
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Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

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Knowledge Check

  • Find the vector equation of a plane which is at a distance of 4 units from the origin and which has (2hati-3hatj+6hatk) as the normal vector.

    A
    `vecr.(2hati-3hatj+6hatk)=28`
    B
    `vecr.(2hati+3hatj+6hatk)=28`
    C
    `vecr.(2hati-3hatj+6hatk)=0`
    D
    `vecr.(2hati-3hatj+6hatk)=-28`

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