Home
Class 12
MATHS
Find the vector equation of the plane w...

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 `2 hat i-3 hat j+4 hat k`. Also find its cartesian form.

Text Solution

Verified by Experts

The correct Answer is:
`rArr ` 2x - 3y + 4z = 6 .
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXAMPLE|18 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (A) (SHORT ANSWER TYPE QUESTIONS )|7 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 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 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 vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2hat i-3hat j+6hat k.

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.

Find the vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector hat i-2 hat j-2 hat kdot

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

Find the vector equation of a plane which is at a distance of 8units from the origin and which is normal to the vector 2hat i+hat j+2hat k

Find the vector equation of a plane at a distance of 5 units from the origin and has hat i as the unit vector normal to it.