Home
Class 12
MATHS
Find the unit vector perpendicular the p...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)(2hat(i)+hat(j)+2hat(k))`
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 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 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

Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat j - hat k) and ( hat i + 2 hat j + hat k) .

Find a unit vector perpendicular to each of the vectors hat i+2 hat j+3 hat k and -3 hat i-2 hat j+hat k . Also find the area of the parallelogram determined by these vectors.

Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 hat k and hat i+2 hat j-hat k .

A sphere has the equation |r-a|^2+|r-b|^2=72, where a=hat(i)+3hat(j)-6hat(k) and b=2hat(i)+4hat(j)+2hat(k) Find (i) The centre of sphere (ii) The radius of sphere (iii) Perpendicular distance from the centre of the sphere to the plane rcdot(2hat(i)+2hat(j)-hat(k))+3=0 .

Find a unit vector perpendicular to both the vectors 4 hat i-hat j+3 hat k and -2 hat i+hat j-2 hat k .

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 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

Find the vector component of a vector 2hat(i)+3hat(j)+6hat(k) along and perpendicular to the non-zero vector 2hat(i)+hat(j)+2hat(k) .