Home
Class 12
MATHS
Find equation of palane which is at a di...

Find equation of palane which is at a distance of `3/sqrt(41)` from origin and its normal vector from origin is `3hati-4hatj+4hatk`

Text Solution

Verified by Experts

Let `vecn= 3hati-4hatj+4hatk`
`vecn= (3hati-4hatj+4hatk)/sqrt(41)`
Hence required equation of the plane is
`vecr=((3hati-4hatj+4hatk)/sqrt(41))=3/sqrt(41)`
`vecr cdot (3hati-4hatj+4hatk)=3`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise Illustration|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane which is at a distance of 6/sqrt(29) from the origin and its normal vector from the origin is 2hati-3hatj+4hatk. Also find its Cartesian equations

Find the equation of plane in Cartesian form which is at a distance 3/sqrt(41) from origin and its normal vector from origin is 3hati-4hatj-4hatk

Find the vector equation of the plane which is at a distance of 5 unit from origin and normal vector from origin is hati + 2hatj-2hatk .

Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is (3hati+5hatj-6hatk) .

Find the vector and equation of a plane which is at a distance of 10 units from origin and normal vector from origin to this plane is 2hati-hatj+2hatk .

Find the vector equation of the plane which is at a distance of (6)/(sqrt(29)) from the origin and its normal vector from the origin is Also find its cartesian form.

Find the equation of plane which is at a distance (4)/(sqrt(14)) from the origin and is normal to vector 2hat i+hat j-3hat k

Find the equation of plane which is at a distance (4)/(sqrt(14)) from the origin and is normal to vector 2hati+hatj-3hatk .