Home
Class 12
MATHS
The vector equation of the plane through...

The vector equation of the plane through the point `hat(i)+2hat(j)-hat(k)` and perpendicular to the line of intersection of the plane `rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2`, is

A

A. `rcdot(2hat(i)+hat(j)-13hat(k))=-1`

B

B. `rcdot(2hat(i)-7hat(j)-13hat(k))=1`

C

C. `rcdot(2hat(i)+7hat(j)+13hat(k))=0`

D

D. None of these

Text Solution

Verified by Experts

The correct Answer is:
(b)
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

The vector equation of the plane through the point (2, 1, -1) and passing through the line of intersection of the plane rcdot(hat(i)+3hat(j)-hat(k))=0 and rcdot(hat(j)+2hat(k))=0, is

The vector equation of the plane through the point 2hat(i)-hat(j)-4hat(k) and parallel to the plane rcdot(4hat(i)-12hat(j)-3hat(k))-7=0 is

Find the angle between the following planes vec(r)*(3hat(i)-4hat(j)+5hat(k))=0 and vec(r)*(2hat(i)-hat(j)-2hat(k))=0

Find the vector and cartesion equation of the line through the point with position vector 2hat(i)-hat(j)+3hat(k) and in the direction of hat(i)+2hat(j)-hat(k)

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

Find a unit vector perpendicular to the plane of two vectors a=hat(i)-hat(j)+2hat(k) and b=2hat(i)+3hat(j)-hat(k) .

Find the equation of the straight line passing through the point (2,-1,3) and perpendicular to the lines vec(r)=(hat(i)+hat(j)-hat(k))+lamda(2hat(i)+hat(j)-3hat(k)) and vec(r)=(hat(i)-hat(j)-hat(k))+mu(hat(i)+hat(j)+hat(k)) .

Find the vector equation of the plane through the intersection of the planes vec(r)*(hat(i)+hat(j)+hat(k))=6 and vec(r)*(2hat(i)+3hat(j)+4hat(k))=-5 and the point (1,1,1).