Home
Class 12
MATHS
Find the planes passing through the inte...

Find the planes passing through the intersection of plane `rcdot(2hat(i)-3hat(j)+4hat(k))=1` and `rcdot(hat(i)-hat(j))+4=0` and perpendicular to planes `rcdot(2hat(i)-hat(j)+hat(k))=-8`

Text Solution

Verified by Experts

The correct Answer is:
`r*(-5hat(i)+2hat(j)+12hat(k))=27`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector perpendicular the plane rcdot(2hat(i)+hat(j)+2hat(k))=5 .

Find the equation of the plane which contains the line of intersection of the planes vec(r)*(hat(i)+2hat(j)+3hat(k))-4=0,vec(r)*(2hat(i)+hat(j)-hat(k))+5=0 and which is perpendicular to the plane vec(r)*(5hat(i)+3hat(j)-6hat(k))+8=0

Find the vector equation of the plane passing through the intersection of the planes vec(r)*(2hat(i)+2hat(j)-3hat(k))+7=0 and vec(r)*(2hat(i)+5hat(j)+3hat(k))=9 and passing through the point (2,1,3).

Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).