Home
Class 12
MATHS
Find the distance between the parallel p...

Find the distance between the parallel planes `vecr.(2 hati-3 hatj+ 6hatk)=5 and vecr .(6 hati-9 hatj+ 18hatk)+20=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(3)` units
Promotional Banner

Topper's Solved these Questions

  • PLANE

    CHHAYA PUBLICATION|Exercise EXERCISE 5 B ( Short question)|11 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination|5 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise EXERCISE 5 B|12 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E Assertion -Reason Type|2 Videos
  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the plane vecr.(2 hati-hatj+2 hat k)=6 and vecr.(3 hati+6 hatj-2 hatk) =9

The angle between hati and line of the intersection of the planes vecr.( hati+2 hatj+ 3 hatk)=0 and vecr.(3 hati+3 hatj+ hatk)=0 is __

Find the vector equation of the line passing through the point (2,-3,1) and parallel to the planes vec r.(2hati-3hatj-hatk)=3 and vec r.(hati+hatj-hatk)=4 .

Find the equation of the plane though the line of intersection of the planes vecr.(2 hati-3 hatj+ 4 hatk)=1 and vecr.( hati- hatj)+4=0 and prependicular to vecr.(2 hati- hatj+ hatk)+8=0 .

Find the distance of the point with position vector 2 hati+ hatj- hatk from the plane vecr .( hati- 2 hatj+ 4 hatk)=9 .

A unit vector parallel to the intersection of planes vecr.( hati- hatj + hat k)=5 and vec r .(2 hati+ hatj-3 hatk)=4 is ___

Find the angle between the two vectors vecA = hati + 2hatj + 3hatk and vecB = 2hati+ hatj + 4hatk .

Find the equation of the plane which constant the line of intesection of the planes vecr.( hati+2 hatj+3 hatk)-4=0 and vecr.( 2 hati+ hatj-hatk)=0 and which is prependicular to the plane vecr.(5 hati+3 hatj-6 hatk)+8=0.

Find the angle between the lines vecr = (2hati - hatj +3hatk) + lambda(hati + hatj + 2hatk) and vec r = (hati - 3hatj)+mu(2hatj - hatk)

Determine the valu of lambda for which the planes vecr.( hati+2 hatj+3 hatk)=7 and vecr.(lambda hati +2 hatj -7 hatk)=26 are prependicular to each other .