Home
Class 12
MATHS
Find the equation of plane in Cartesian ...

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`

Text Solution

Verified by Experts

We know that equation of plane in Cartesian from is
`lx+my+nz=d`
here `(l, m, n) -= (3/sqrt(41),(-4)/sqrt(41),(-4)/sqrt(41))`
`d=3/sqrt(41)`
so equation of plane in Cartesian form is given by
`3x- 4y- 4z = 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 equation of palane which is at a distance of 3/sqrt(41) from origin and its normal vector from origin is 3hati-4hatj+4hatk

Find the equation of plane in Cartesian form which is at a distance of 5 unit from origin and its normal vector from origin is parallel to a vector formed by joining points A(1, 2, 3) and B(3, -4, -6).

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

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 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 5 unit from origin and normal vector from origin is hati + 2hatj-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.