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Find the distance of the point (2hati-ha...

Find the distance of the point `(2hati-hatj-4hatk)` from the plane `vecr.(3hati-4hatj+12hatk)=9`.

Text Solution

Verified by Experts

The correct Answer is:
`47/13` units
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Explore conceptually related problems

Find the distance of the point (hati+2hatj-3hatk) from the plane vecr.(2hati-5hatj-hatk)=4 .

Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

Knowledge Check

  • The vector equation of the plane through the point 2hati-hatj-4hatk and parallel to the plane vecr.(4hati-12hatj-3hatk)-7=0 , is

    A
    `vecr.(4hati-12hatj-3hatk)=0`
    B
    `vecr.(4hati-12hatj-3hatk)=32`
    C
    `vecr.(4hati-12hatj-3hat)=12`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

    Find the distance of the point 2hati + hatj + hatk) from the plane barr *(hati + 2hatj +4hatk) = 13 .

    Find the distance of the point hati + 2hatj - hatk from the plane barr*(hati - 2hatj + 4hatk) = 10 .

    Find the perpendicular distance from the point (2hati+hatj-hatk) to the plane vecr.(i-2hatj+4hatk) = 3 .

    Find the distance of the point (3,4,5) from the plane vecr.(2hati-5hatj+3hatk)=13

    Find the distance of a point (2,5,-3) from the plane vecr.(6hati-3hatj+2hatk)=4.

    Find the vector equation of the plane through the point (3hati+4hatj-hatk) and parallel to the plane vecr(2hati-3hatj+5hatk)+5=0 .

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